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Simplifying 3(x + 3) + -2x = 2(x + -4) Reorder the terms: 3(3 + x) + -2x = 2(x + -4) (3 * 3 + x * 3) + -2x = 2(x + -4) (9 + 3x) + -2x = 2(x + -4) Combine like terms: 3x + -2x = 1x 9 + 1x = 2(x + -4) Reorder the terms: 9 + 1x = 2(-4 + x) 9 + 1x = (-4 * 2 + x * 2) 9 + 1x = (-8 + 2x) Solving 9 + 1x = -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 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -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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