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Simplifying 2(1 + -2x) + -3(x + 2) = -60 (1 * 2 + -2x * 2) + -3(x + 2) = -60 (2 + -4x) + -3(x + 2) = -60 Reorder the terms: 2 + -4x + -3(2 + x) = -60 2 + -4x + (2 * -3 + x * -3) = -60 2 + -4x + (-6 + -3x) = -60 Reorder the terms: 2 + -6 + -4x + -3x = -60 Combine like terms: 2 + -6 = -4 -4 + -4x + -3x = -60 Combine like terms: -4x + -3x = -7x -4 + -7x = -60 Solving -4 + -7x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = -60 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = -60 + 4 -7x = -60 + 4 Combine like terms: -60 + 4 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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