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Simplifying 5(x + -4) = 2(5x + -15) Reorder the terms: 5(-4 + x) = 2(5x + -15) (-4 * 5 + x * 5) = 2(5x + -15) (-20 + 5x) = 2(5x + -15) Reorder the terms: -20 + 5x = 2(-15 + 5x) -20 + 5x = (-15 * 2 + 5x * 2) -20 + 5x = (-30 + 10x) Solving -20 + 5x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 5x + -10x = -30 + 10x + -10x Combine like terms: 5x + -10x = -5x -20 + -5x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -5x = -30 + 0 -20 + -5x = -30 Add '20' to each side of the equation. -20 + 20 + -5x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = -30 + 20 -5x = -30 + 20 Combine like terms: -30 + 20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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