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Simplifying 3(x + 3) + -2(x + -4) = 2(3x + -7) Reorder the terms: 3(3 + x) + -2(x + -4) = 2(3x + -7) (3 * 3 + x * 3) + -2(x + -4) = 2(3x + -7) (9 + 3x) + -2(x + -4) = 2(3x + -7) Reorder the terms: 9 + 3x + -2(-4 + x) = 2(3x + -7) 9 + 3x + (-4 * -2 + x * -2) = 2(3x + -7) 9 + 3x + (8 + -2x) = 2(3x + -7) Reorder the terms: 9 + 8 + 3x + -2x = 2(3x + -7) Combine like terms: 9 + 8 = 17 17 + 3x + -2x = 2(3x + -7) Combine like terms: 3x + -2x = 1x 17 + 1x = 2(3x + -7) Reorder the terms: 17 + 1x = 2(-7 + 3x) 17 + 1x = (-7 * 2 + 3x * 2) 17 + 1x = (-14 + 6x) Solving 17 + 1x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 1x + -6x = -14 + 6x + -6x Combine like terms: 1x + -6x = -5x 17 + -5x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -5x = -14 + 0 17 + -5x = -14 Add '-17' to each side of the equation. 17 + -17 + -5x = -14 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -14 + -17 -5x = -14 + -17 Combine like terms: -14 + -17 = -31 -5x = -31 Divide each side by '-5'. x = 6.2 Simplifying x = 6.2
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