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Simplifying 10(2x + -10) + -2 = 10(x + -5) + 8 Reorder the terms: 10(-10 + 2x) + -2 = 10(x + -5) + 8 (-10 * 10 + 2x * 10) + -2 = 10(x + -5) + 8 (-100 + 20x) + -2 = 10(x + -5) + 8 Reorder the terms: -100 + -2 + 20x = 10(x + -5) + 8 Combine like terms: -100 + -2 = -102 -102 + 20x = 10(x + -5) + 8 Reorder the terms: -102 + 20x = 10(-5 + x) + 8 -102 + 20x = (-5 * 10 + x * 10) + 8 -102 + 20x = (-50 + 10x) + 8 Reorder the terms: -102 + 20x = -50 + 8 + 10x Combine like terms: -50 + 8 = -42 -102 + 20x = -42 + 10x Solving -102 + 20x = -42 + 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. -102 + 20x + -10x = -42 + 10x + -10x Combine like terms: 20x + -10x = 10x -102 + 10x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 -102 + 10x = -42 + 0 -102 + 10x = -42 Add '102' to each side of the equation. -102 + 102 + 10x = -42 + 102 Combine like terms: -102 + 102 = 0 0 + 10x = -42 + 102 10x = -42 + 102 Combine like terms: -42 + 102 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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