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Simplifying 5(x + 2) + -4(x + -9) = -1(3x + -3) Reorder the terms: 5(2 + x) + -4(x + -9) = -1(3x + -3) (2 * 5 + x * 5) + -4(x + -9) = -1(3x + -3) (10 + 5x) + -4(x + -9) = -1(3x + -3) Reorder the terms: 10 + 5x + -4(-9 + x) = -1(3x + -3) 10 + 5x + (-9 * -4 + x * -4) = -1(3x + -3) 10 + 5x + (36 + -4x) = -1(3x + -3) Reorder the terms: 10 + 36 + 5x + -4x = -1(3x + -3) Combine like terms: 10 + 36 = 46 46 + 5x + -4x = -1(3x + -3) Combine like terms: 5x + -4x = 1x 46 + 1x = -1(3x + -3) Reorder the terms: 46 + 1x = -1(-3 + 3x) 46 + 1x = (-3 * -1 + 3x * -1) 46 + 1x = (3 + -3x) Solving 46 + 1x = 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. 46 + 1x + 3x = 3 + -3x + 3x Combine like terms: 1x + 3x = 4x 46 + 4x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + 4x = 3 + 0 46 + 4x = 3 Add '-46' to each side of the equation. 46 + -46 + 4x = 3 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 3 + -46 4x = 3 + -46 Combine like terms: 3 + -46 = -43 4x = -43 Divide each side by '4'. x = -10.75 Simplifying x = -10.75
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