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Simplifying -60 = 2(1 + 5x) + -1(2 + -2x) -60 = (1 * 2 + 5x * 2) + -1(2 + -2x) -60 = (2 + 10x) + -1(2 + -2x) -60 = 2 + 10x + (2 * -1 + -2x * -1) -60 = 2 + 10x + (-2 + 2x) Reorder the terms: -60 = 2 + -2 + 10x + 2x Combine like terms: 2 + -2 = 0 -60 = 0 + 10x + 2x -60 = 10x + 2x Combine like terms: 10x + 2x = 12x -60 = 12x Solving -60 = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -60 + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 -60 + -12x = 0 Add '60' to each side of the equation. -60 + 60 + -12x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -12x = 0 + 60 -12x = 0 + 60 Combine like terms: 0 + 60 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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