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Simplifying 3(x + 7) = 2(4x + 28) Reorder the terms: 3(7 + x) = 2(4x + 28) (7 * 3 + x * 3) = 2(4x + 28) (21 + 3x) = 2(4x + 28) Reorder the terms: 21 + 3x = 2(28 + 4x) 21 + 3x = (28 * 2 + 4x * 2) 21 + 3x = (56 + 8x) Solving 21 + 3x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 3x + -8x = 56 + 8x + -8x Combine like terms: 3x + -8x = -5x 21 + -5x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -5x = 56 + 0 21 + -5x = 56 Add '-21' to each side of the equation. 21 + -21 + -5x = 56 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 56 + -21 -5x = 56 + -21 Combine like terms: 56 + -21 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7

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