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Simplifying 2x = 5(x + -102) Reorder the terms: 2x = 5(-102 + x) 2x = (-102 * 5 + x * 5) 2x = (-510 + 5x) Solving 2x = -510 + 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. 2x + -5x = -510 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = -510 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = -510 + 0 -3x = -510 Divide each side by '-3'. x = 170 Simplifying x = 170
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