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Simplifying 2(5x + -10) = 4(2x + -5) Reorder the terms: 2(-10 + 5x) = 4(2x + -5) (-10 * 2 + 5x * 2) = 4(2x + -5) (-20 + 10x) = 4(2x + -5) Reorder the terms: -20 + 10x = 4(-5 + 2x) -20 + 10x = (-5 * 4 + 2x * 4) -20 + 10x = (-20 + 8x) Add '20' to each side of the equation. -20 + 20 + 10x = -20 + 20 + 8x Combine like terms: -20 + 20 = 0 0 + 10x = -20 + 20 + 8x 10x = -20 + 20 + 8x Combine like terms: -20 + 20 = 0 10x = 0 + 8x 10x = 8x Solving 10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 8x + -8x Combine like terms: 8x + -8x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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