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Simplifying -32 + -8x = -1(-7x + 2) Reorder the terms: -32 + -8x = -1(2 + -7x) -32 + -8x = (2 * -1 + -7x * -1) -32 + -8x = (-2 + 7x) Solving -32 + -8x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -32 + -8x + -7x = -2 + 7x + -7x Combine like terms: -8x + -7x = -15x -32 + -15x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -15x = -2 + 0 -32 + -15x = -2 Add '32' to each side of the equation. -32 + 32 + -15x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -15x = -2 + 32 -15x = -2 + 32 Combine like terms: -2 + 32 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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