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Simplifying 2(x + -9) + 15 = 3(x + 4) + -9 Reorder the terms: 2(-9 + x) + 15 = 3(x + 4) + -9 (-9 * 2 + x * 2) + 15 = 3(x + 4) + -9 (-18 + 2x) + 15 = 3(x + 4) + -9 Reorder the terms: -18 + 15 + 2x = 3(x + 4) + -9 Combine like terms: -18 + 15 = -3 -3 + 2x = 3(x + 4) + -9 Reorder the terms: -3 + 2x = 3(4 + x) + -9 -3 + 2x = (4 * 3 + x * 3) + -9 -3 + 2x = (12 + 3x) + -9 Reorder the terms: -3 + 2x = 12 + -9 + 3x Combine like terms: 12 + -9 = 3 -3 + 2x = 3 + 3x Solving -3 + 2x = 3 + 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. -3 + 2x + -3x = 3 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = 3 + 0 -3 + -1x = 3 Add '3' to each side of the equation. -3 + 3 + -1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 3 + 3 -1x = 3 + 3 Combine like terms: 3 + 3 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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