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