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Simplifying 3(x + -6) + 9 = 2(x + 4) Reorder the terms: 3(-6 + x) + 9 = 2(x + 4) (-6 * 3 + x * 3) + 9 = 2(x + 4) (-18 + 3x) + 9 = 2(x + 4) Reorder the terms: -18 + 9 + 3x = 2(x + 4) Combine like terms: -18 + 9 = -9 -9 + 3x = 2(x + 4) Reorder the terms: -9 + 3x = 2(4 + x) -9 + 3x = (4 * 2 + x * 2) -9 + 3x = (8 + 2x) Solving -9 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x -9 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 1x = 8 + 0 -9 + 1x = 8 Add '9' to each side of the equation. -9 + 9 + 1x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 8 + 9 1x = 8 + 9 Combine like terms: 8 + 9 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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