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Simplifying -7x + -12 = 2x + -1(5x + -8) Reorder the terms: -12 + -7x = 2x + -1(5x + -8) Reorder the terms: -12 + -7x = 2x + -1(-8 + 5x) -12 + -7x = 2x + (-8 * -1 + 5x * -1) -12 + -7x = 2x + (8 + -5x) Reorder the terms: -12 + -7x = 8 + 2x + -5x Combine like terms: 2x + -5x = -3x -12 + -7x = 8 + -3x Solving -12 + -7x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -7x + 3x = 8 + -3x + 3x Combine like terms: -7x + 3x = -4x -12 + -4x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -4x = 8 + 0 -12 + -4x = 8 Add '12' to each side of the equation. -12 + 12 + -4x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 8 + 12 -4x = 8 + 12 Combine like terms: 8 + 12 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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