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Simplifying 3(x + -5) + -4(2x + -24) = -2(x + -11) Reorder the terms: 3(-5 + x) + -4(2x + -24) = -2(x + -11) (-5 * 3 + x * 3) + -4(2x + -24) = -2(x + -11) (-15 + 3x) + -4(2x + -24) = -2(x + -11) Reorder the terms: -15 + 3x + -4(-24 + 2x) = -2(x + -11) -15 + 3x + (-24 * -4 + 2x * -4) = -2(x + -11) -15 + 3x + (96 + -8x) = -2(x + -11) Reorder the terms: -15 + 96 + 3x + -8x = -2(x + -11) Combine like terms: -15 + 96 = 81 81 + 3x + -8x = -2(x + -11) Combine like terms: 3x + -8x = -5x 81 + -5x = -2(x + -11) Reorder the terms: 81 + -5x = -2(-11 + x) 81 + -5x = (-11 * -2 + x * -2) 81 + -5x = (22 + -2x) Solving 81 + -5x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 81 + -5x + 2x = 22 + -2x + 2x Combine like terms: -5x + 2x = -3x 81 + -3x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 81 + -3x = 22 + 0 81 + -3x = 22 Add '-81' to each side of the equation. 81 + -81 + -3x = 22 + -81 Combine like terms: 81 + -81 = 0 0 + -3x = 22 + -81 -3x = 22 + -81 Combine like terms: 22 + -81 = -59 -3x = -59 Divide each side by '-3'. x = 19.66666667 Simplifying x = 19.66666667
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