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Simplifying 2(x + 6) = 3(x + -1) + 2x Reorder the terms: 2(6 + x) = 3(x + -1) + 2x (6 * 2 + x * 2) = 3(x + -1) + 2x (12 + 2x) = 3(x + -1) + 2x Reorder the terms: 12 + 2x = 3(-1 + x) + 2x 12 + 2x = (-1 * 3 + x * 3) + 2x 12 + 2x = (-3 + 3x) + 2x Combine like terms: 3x + 2x = 5x 12 + 2x = -3 + 5x Solving 12 + 2x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 2x + -5x = -3 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = -3 + 0 12 + -3x = -3 Add '-12' to each side of the equation. 12 + -12 + -3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -3 + -12 -3x = -3 + -12 Combine like terms: -3 + -12 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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