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Simplifying 3(x + -5) + -5(2x + -4) = -2(x + -11) Reorder the terms: 3(-5 + x) + -5(2x + -4) = -2(x + -11) (-5 * 3 + x * 3) + -5(2x + -4) = -2(x + -11) (-15 + 3x) + -5(2x + -4) = -2(x + -11) Reorder the terms: -15 + 3x + -5(-4 + 2x) = -2(x + -11) -15 + 3x + (-4 * -5 + 2x * -5) = -2(x + -11) -15 + 3x + (20 + -10x) = -2(x + -11) Reorder the terms: -15 + 20 + 3x + -10x = -2(x + -11) Combine like terms: -15 + 20 = 5 5 + 3x + -10x = -2(x + -11) Combine like terms: 3x + -10x = -7x 5 + -7x = -2(x + -11) Reorder the terms: 5 + -7x = -2(-11 + x) 5 + -7x = (-11 * -2 + x * -2) 5 + -7x = (22 + -2x) Solving 5 + -7x = 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. 5 + -7x + 2x = 22 + -2x + 2x Combine like terms: -7x + 2x = -5x 5 + -5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -5x = 22 + 0 5 + -5x = 22 Add '-5' to each side of the equation. 5 + -5 + -5x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 22 + -5 -5x = 22 + -5 Combine like terms: 22 + -5 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4
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