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Simplifying 102 = 2x + -5(-5 + 12) Combine like terms: -5 + 12 = 7 102 = 2x + -5(7) Multiply -5 * 7 102 = 2x + -35 Reorder the terms: 102 = -35 + 2x Solving 102 = -35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 102 + -2x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 102 + -2x = -35 + 0 102 + -2x = -35 Add '-102' to each side of the equation. 102 + -102 + -2x = -35 + -102 Combine like terms: 102 + -102 = 0 0 + -2x = -35 + -102 -2x = -35 + -102 Combine like terms: -35 + -102 = -137 -2x = -137 Divide each side by '-2'. x = 68.5 Simplifying x = 68.5
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