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Simplifying 5(-2x + -4) = 12 + -3(x + -1) Reorder the terms: 5(-4 + -2x) = 12 + -3(x + -1) (-4 * 5 + -2x * 5) = 12 + -3(x + -1) (-20 + -10x) = 12 + -3(x + -1) Reorder the terms: -20 + -10x = 12 + -3(-1 + x) -20 + -10x = 12 + (-1 * -3 + x * -3) -20 + -10x = 12 + (3 + -3x) Combine like terms: 12 + 3 = 15 -20 + -10x = 15 + -3x Solving -20 + -10x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + -10x + 3x = 15 + -3x + 3x Combine like terms: -10x + 3x = -7x -20 + -7x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -7x = 15 + 0 -20 + -7x = 15 Add '20' to each side of the equation. -20 + 20 + -7x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 15 + 20 -7x = 15 + 20 Combine like terms: 15 + 20 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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