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Simplifying 2x + 102 = 5x + -20 Reorder the terms: 102 + 2x = 5x + -20 Reorder the terms: 102 + 2x = -20 + 5x Solving 102 + 2x = -20 + 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. 102 + 2x + -5x = -20 + 5x + -5x Combine like terms: 2x + -5x = -3x 102 + -3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 102 + -3x = -20 + 0 102 + -3x = -20 Add '-102' to each side of the equation. 102 + -102 + -3x = -20 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = -20 + -102 -3x = -20 + -102 Combine like terms: -20 + -102 = -122 -3x = -122 Divide each side by '-3'. x = 40.66666667 Simplifying x = 40.66666667
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