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Simplifying 5x + 3(-3x + 2) = 4x + 9 Reorder the terms: 5x + 3(2 + -3x) = 4x + 9 5x + (2 * 3 + -3x * 3) = 4x + 9 5x + (6 + -9x) = 4x + 9 Reorder the terms: 6 + 5x + -9x = 4x + 9 Combine like terms: 5x + -9x = -4x 6 + -4x = 4x + 9 Reorder the terms: 6 + -4x = 9 + 4x Solving 6 + -4x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -4x + -4x = 9 + 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = 9 + 0 6 + -8x = 9 Add '-6' to each side of the equation. 6 + -6 + -8x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 9 + -6 -8x = 9 + -6 Combine like terms: 9 + -6 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375

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