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Simplifying -2x + 2(-5x + 15) = 102 Reorder the terms: -2x + 2(15 + -5x) = 102 -2x + (15 * 2 + -5x * 2) = 102 -2x + (30 + -10x) = 102 Reorder the terms: 30 + -2x + -10x = 102 Combine like terms: -2x + -10x = -12x 30 + -12x = 102 Solving 30 + -12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -12x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 102 + -30 -12x = 102 + -30 Combine like terms: 102 + -30 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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