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Simplifying -5(2x + -4) = 2(x + -31) + -39 Reorder the terms: -5(-4 + 2x) = 2(x + -31) + -39 (-4 * -5 + 2x * -5) = 2(x + -31) + -39 (20 + -10x) = 2(x + -31) + -39 Reorder the terms: 20 + -10x = 2(-31 + x) + -39 20 + -10x = (-31 * 2 + x * 2) + -39 20 + -10x = (-62 + 2x) + -39 Reorder the terms: 20 + -10x = -62 + -39 + 2x Combine like terms: -62 + -39 = -101 20 + -10x = -101 + 2x Solving 20 + -10x = -101 + 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. 20 + -10x + -2x = -101 + 2x + -2x Combine like terms: -10x + -2x = -12x 20 + -12x = -101 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -12x = -101 + 0 20 + -12x = -101 Add '-20' to each side of the equation. 20 + -20 + -12x = -101 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -101 + -20 -12x = -101 + -20 Combine like terms: -101 + -20 = -121 -12x = -121 Divide each side by '-12'. x = 10.08333333 Simplifying x = 10.08333333
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