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Simplifying -2x + -102 = 5x + 31 Reorder the terms: -102 + -2x = 5x + 31 Reorder the terms: -102 + -2x = 31 + 5x Solving -102 + -2x = 31 + 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 = 31 + 5x + -5x Combine like terms: -2x + -5x = -7x -102 + -7x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -102 + -7x = 31 + 0 -102 + -7x = 31 Add '102' to each side of the equation. -102 + 102 + -7x = 31 + 102 Combine like terms: -102 + 102 = 0 0 + -7x = 31 + 102 -7x = 31 + 102 Combine like terms: 31 + 102 = 133 -7x = 133 Divide each side by '-7'. x = -19 Simplifying x = -19
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