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Simplifying 10(x + -10) = 2(2x + -5) Reorder the terms: 10(-10 + x) = 2(2x + -5) (-10 * 10 + x * 10) = 2(2x + -5) (-100 + 10x) = 2(2x + -5) Reorder the terms: -100 + 10x = 2(-5 + 2x) -100 + 10x = (-5 * 2 + 2x * 2) -100 + 10x = (-10 + 4x) Solving -100 + 10x = -10 + 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. -100 + 10x + -4x = -10 + 4x + -4x Combine like terms: 10x + -4x = 6x -100 + 6x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -100 + 6x = -10 + 0 -100 + 6x = -10 Add '100' to each side of the equation. -100 + 100 + 6x = -10 + 100 Combine like terms: -100 + 100 = 0 0 + 6x = -10 + 100 6x = -10 + 100 Combine like terms: -10 + 100 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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