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Simplifying 37 + -1(3x + -9) = 5(x + -2) + -1x Reorder the terms: 37 + -1(-9 + 3x) = 5(x + -2) + -1x 37 + (-9 * -1 + 3x * -1) = 5(x + -2) + -1x 37 + (9 + -3x) = 5(x + -2) + -1x Combine like terms: 37 + 9 = 46 46 + -3x = 5(x + -2) + -1x Reorder the terms: 46 + -3x = 5(-2 + x) + -1x 46 + -3x = (-2 * 5 + x * 5) + -1x 46 + -3x = (-10 + 5x) + -1x Combine like terms: 5x + -1x = 4x 46 + -3x = -10 + 4x Solving 46 + -3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -3x + -4x = -10 + 4x + -4x Combine like terms: -3x + -4x = -7x 46 + -7x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -7x = -10 + 0 46 + -7x = -10 Add '-46' to each side of the equation. 46 + -46 + -7x = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -7x = -10 + -46 -7x = -10 + -46 Combine like terms: -10 + -46 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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