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Simplifying 2(5x + 10) = 4(x + -1) Reorder the terms: 2(10 + 5x) = 4(x + -1) (10 * 2 + 5x * 2) = 4(x + -1) (20 + 10x) = 4(x + -1) Reorder the terms: 20 + 10x = 4(-1 + x) 20 + 10x = (-1 * 4 + x * 4) 20 + 10x = (-4 + 4x) Solving 20 + 10x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 10x + -4x = -4 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x = -4 + 0 20 + 6x = -4 Add '-20' to each side of the equation. 20 + -20 + 6x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = -4 + -20 6x = -4 + -20 Combine like terms: -4 + -20 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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