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Simplifying -3(4 + -1x) + -4(x + -9) = x + 9 + -10 (4 * -3 + -1x * -3) + -4(x + -9) = x + 9 + -10 (-12 + 3x) + -4(x + -9) = x + 9 + -10 Reorder the terms: -12 + 3x + -4(-9 + x) = x + 9 + -10 -12 + 3x + (-9 * -4 + x * -4) = x + 9 + -10 -12 + 3x + (36 + -4x) = x + 9 + -10 Reorder the terms: -12 + 36 + 3x + -4x = x + 9 + -10 Combine like terms: -12 + 36 = 24 24 + 3x + -4x = x + 9 + -10 Combine like terms: 3x + -4x = -1x 24 + -1x = x + 9 + -10 Reorder the terms: 24 + -1x = 9 + -10 + x Combine like terms: 9 + -10 = -1 24 + -1x = -1 + x Solving 24 + -1x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -1x + -1x = -1 + x + -1x Combine like terms: -1x + -1x = -2x 24 + -2x = -1 + x + -1x Combine like terms: x + -1x = 0 24 + -2x = -1 + 0 24 + -2x = -1 Add '-24' to each side of the equation. 24 + -24 + -2x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -1 + -24 -2x = -1 + -24 Combine like terms: -1 + -24 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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