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Simplifying 36 + -2(x + -10) = 4(x + -15) + -1(x + 9) Reorder the terms: 36 + -2(-10 + x) = 4(x + -15) + -1(x + 9) 36 + (-10 * -2 + x * -2) = 4(x + -15) + -1(x + 9) 36 + (20 + -2x) = 4(x + -15) + -1(x + 9) Combine like terms: 36 + 20 = 56 56 + -2x = 4(x + -15) + -1(x + 9) Reorder the terms: 56 + -2x = 4(-15 + x) + -1(x + 9) 56 + -2x = (-15 * 4 + x * 4) + -1(x + 9) 56 + -2x = (-60 + 4x) + -1(x + 9) Reorder the terms: 56 + -2x = -60 + 4x + -1(9 + x) 56 + -2x = -60 + 4x + (9 * -1 + x * -1) 56 + -2x = -60 + 4x + (-9 + -1x) Reorder the terms: 56 + -2x = -60 + -9 + 4x + -1x Combine like terms: -60 + -9 = -69 56 + -2x = -69 + 4x + -1x Combine like terms: 4x + -1x = 3x 56 + -2x = -69 + 3x Solving 56 + -2x = -69 + 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. 56 + -2x + -3x = -69 + 3x + -3x Combine like terms: -2x + -3x = -5x 56 + -5x = -69 + 3x + -3x Combine like terms: 3x + -3x = 0 56 + -5x = -69 + 0 56 + -5x = -69 Add '-56' to each side of the equation. 56 + -56 + -5x = -69 + -56 Combine like terms: 56 + -56 = 0 0 + -5x = -69 + -56 -5x = -69 + -56 Combine like terms: -69 + -56 = -125 -5x = -125 Divide each side by '-5'. x = 25 Simplifying x = 25
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