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Simplifying 2(x + 6) + -3 = 3(x + 4) Reorder the terms: 2(6 + x) + -3 = 3(x + 4) (6 * 2 + x * 2) + -3 = 3(x + 4) (12 + 2x) + -3 = 3(x + 4) Reorder the terms: 12 + -3 + 2x = 3(x + 4) Combine like terms: 12 + -3 = 9 9 + 2x = 3(x + 4) Reorder the terms: 9 + 2x = 3(4 + x) 9 + 2x = (4 * 3 + x * 3) 9 + 2x = (12 + 3x) Solving 9 + 2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = 12 + 0 9 + -1x = 12 Add '-9' to each side of the equation. 9 + -9 + -1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 12 + -9 -1x = 12 + -9 Combine like terms: 12 + -9 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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