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Simplifying 3(x + -5) + -4(2x + -4) = -2(x + -11) Reorder the terms: 3(-5 + x) + -4(2x + -4) = -2(x + -11) (-5 * 3 + x * 3) + -4(2x + -4) = -2(x + -11) (-15 + 3x) + -4(2x + -4) = -2(x + -11) Reorder the terms: -15 + 3x + -4(-4 + 2x) = -2(x + -11) -15 + 3x + (-4 * -4 + 2x * -4) = -2(x + -11) -15 + 3x + (16 + -8x) = -2(x + -11) Reorder the terms: -15 + 16 + 3x + -8x = -2(x + -11) Combine like terms: -15 + 16 = 1 1 + 3x + -8x = -2(x + -11) Combine like terms: 3x + -8x = -5x 1 + -5x = -2(x + -11) Reorder the terms: 1 + -5x = -2(-11 + x) 1 + -5x = (-11 * -2 + x * -2) 1 + -5x = (22 + -2x) Solving 1 + -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. 1 + -5x + 2x = 22 + -2x + 2x Combine like terms: -5x + 2x = -3x 1 + -3x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -3x = 22 + 0 1 + -3x = 22 Add '-1' to each side of the equation. 1 + -1 + -3x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 22 + -1 -3x = 22 + -1 Combine like terms: 22 + -1 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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