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Simplifying -5x + 2 = 102 + 5x Reorder the terms: 2 + -5x = 102 + 5x Solving 2 + -5x = 102 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -5x + -5x = 102 + 5x + -5x Combine like terms: -5x + -5x = -10x 2 + -10x = 102 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -10x = 102 + 0 2 + -10x = 102 Add '-2' to each side of the equation. 2 + -2 + -10x = 102 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 102 + -2 -10x = 102 + -2 Combine like terms: 102 + -2 = 100 -10x = 100 Divide each side by '-10'. x = -10 Simplifying x = -10
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