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Simplifying 2 + -3(x + 1) = 6x + 9 Reorder the terms: 2 + -3(1 + x) = 6x + 9 2 + (1 * -3 + x * -3) = 6x + 9 2 + (-3 + -3x) = 6x + 9 Combine like terms: 2 + -3 = -1 -1 + -3x = 6x + 9 Reorder the terms: -1 + -3x = 9 + 6x Solving -1 + -3x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -3x + -6x = 9 + 6x + -6x Combine like terms: -3x + -6x = -9x -1 + -9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -9x = 9 + 0 -1 + -9x = 9 Add '1' to each side of the equation. -1 + 1 + -9x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 9 + 1 -9x = 9 + 1 Combine like terms: 9 + 1 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111

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