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Simplifying -5x + 60 + -2(x + -2) = 7x + -1(2x + -8) + -3x + 2 Reorder the terms: -5x + 60 + -2(-2 + x) = 7x + -1(2x + -8) + -3x + 2 -5x + 60 + (-2 * -2 + x * -2) = 7x + -1(2x + -8) + -3x + 2 -5x + 60 + (4 + -2x) = 7x + -1(2x + -8) + -3x + 2 Reorder the terms: 60 + 4 + -5x + -2x = 7x + -1(2x + -8) + -3x + 2 Combine like terms: 60 + 4 = 64 64 + -5x + -2x = 7x + -1(2x + -8) + -3x + 2 Combine like terms: -5x + -2x = -7x 64 + -7x = 7x + -1(2x + -8) + -3x + 2 Reorder the terms: 64 + -7x = 7x + -1(-8 + 2x) + -3x + 2 64 + -7x = 7x + (-8 * -1 + 2x * -1) + -3x + 2 64 + -7x = 7x + (8 + -2x) + -3x + 2 Reorder the terms: 64 + -7x = 8 + 2 + 7x + -2x + -3x Combine like terms: 8 + 2 = 10 64 + -7x = 10 + 7x + -2x + -3x Combine like terms: 7x + -2x = 5x 64 + -7x = 10 + 5x + -3x Combine like terms: 5x + -3x = 2x 64 + -7x = 10 + 2x Solving 64 + -7x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 64 + -7x + -2x = 10 + 2x + -2x Combine like terms: -7x + -2x = -9x 64 + -9x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 64 + -9x = 10 + 0 64 + -9x = 10 Add '-64' to each side of the equation. 64 + -64 + -9x = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -9x = 10 + -64 -9x = 10 + -64 Combine like terms: 10 + -64 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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