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Simplifying -2(5 + -2x) = 5(2x + -1) + -5 (5 * -2 + -2x * -2) = 5(2x + -1) + -5 (-10 + 4x) = 5(2x + -1) + -5 Reorder the terms: -10 + 4x = 5(-1 + 2x) + -5 -10 + 4x = (-1 * 5 + 2x * 5) + -5 -10 + 4x = (-5 + 10x) + -5 Reorder the terms: -10 + 4x = -5 + -5 + 10x Combine like terms: -5 + -5 = -10 -10 + 4x = -10 + 10x Add '10' to each side of the equation. -10 + 10 + 4x = -10 + 10 + 10x Combine like terms: -10 + 10 = 0 0 + 4x = -10 + 10 + 10x 4x = -10 + 10 + 10x Combine like terms: -10 + 10 = 0 4x = 0 + 10x 4x = 10x Solving 4x = 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. 4x + -10x = 10x + -10x Combine like terms: 4x + -10x = -6x -6x = 10x + -10x Combine like terms: 10x + -10x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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