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Simplifying x + 102 = 5x + 2(5x + -5) Reorder the terms: 102 + x = 5x + 2(5x + -5) Reorder the terms: 102 + x = 5x + 2(-5 + 5x) 102 + x = 5x + (-5 * 2 + 5x * 2) 102 + x = 5x + (-10 + 10x) Reorder the terms: 102 + x = -10 + 5x + 10x Combine like terms: 5x + 10x = 15x 102 + x = -10 + 15x Solving 102 + x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 102 + x + -15x = -10 + 15x + -15x Combine like terms: x + -15x = -14x 102 + -14x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 102 + -14x = -10 + 0 102 + -14x = -10 Add '-102' to each side of the equation. 102 + -102 + -14x = -10 + -102 Combine like terms: 102 + -102 = 0 0 + -14x = -10 + -102 -14x = -10 + -102 Combine like terms: -10 + -102 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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