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Simplifying 2x = 12x + -1(7x + -15) Reorder the terms: 2x = 12x + -1(-15 + 7x) 2x = 12x + (-15 * -1 + 7x * -1) 2x = 12x + (15 + -7x) Reorder the terms: 2x = 15 + 12x + -7x Combine like terms: 12x + -7x = 5x 2x = 15 + 5x Solving 2x = 15 + 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 = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 15 + 0 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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