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Simplifying -5(x + -4) + 3(x + 3) = 12 Reorder the terms: -5(-4 + x) + 3(x + 3) = 12 (-4 * -5 + x * -5) + 3(x + 3) = 12 (20 + -5x) + 3(x + 3) = 12 Reorder the terms: 20 + -5x + 3(3 + x) = 12 20 + -5x + (3 * 3 + x * 3) = 12 20 + -5x + (9 + 3x) = 12 Reorder the terms: 20 + 9 + -5x + 3x = 12 Combine like terms: 20 + 9 = 29 29 + -5x + 3x = 12 Combine like terms: -5x + 3x = -2x 29 + -2x = 12 Solving 29 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2x = 12 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 12 + -29 -2x = 12 + -29 Combine like terms: 12 + -29 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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