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Simplifying 102 + -5x = 2x + 18 Reorder the terms: 102 + -5x = 18 + 2x Solving 102 + -5x = 18 + 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 + -5x + -2x = 18 + 2x + -2x Combine like terms: -5x + -2x = -7x 102 + -7x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 102 + -7x = 18 + 0 102 + -7x = 18 Add '-102' to each side of the equation. 102 + -102 + -7x = 18 + -102 Combine like terms: 102 + -102 = 0 0 + -7x = 18 + -102 -7x = 18 + -102 Combine like terms: 18 + -102 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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