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Simplifying -15x = -1(6 + 12x) + -1(9 + -2x) -15x = (6 * -1 + 12x * -1) + -1(9 + -2x) -15x = (-6 + -12x) + -1(9 + -2x) -15x = -6 + -12x + (9 * -1 + -2x * -1) -15x = -6 + -12x + (-9 + 2x) Reorder the terms: -15x = -6 + -9 + -12x + 2x Combine like terms: -6 + -9 = -15 -15x = -15 + -12x + 2x Combine like terms: -12x + 2x = -10x -15x = -15 + -10x Solving -15x = -15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15x + 10x = -15 + -10x + 10x Combine like terms: -15x + 10x = -5x -5x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 -5x = -15 + 0 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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