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Simplifying -12x + 8 = 24 + -1(4x + -8) Reorder the terms: 8 + -12x = 24 + -1(4x + -8) Reorder the terms: 8 + -12x = 24 + -1(-8 + 4x) 8 + -12x = 24 + (-8 * -1 + 4x * -1) 8 + -12x = 24 + (8 + -4x) Combine like terms: 24 + 8 = 32 8 + -12x = 32 + -4x Solving 8 + -12x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -12x + 4x = 32 + -4x + 4x Combine like terms: -12x + 4x = -8x 8 + -8x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -8x = 32 + 0 8 + -8x = 32 Add '-8' to each side of the equation. 8 + -8 + -8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 32 + -8 -8x = 32 + -8 Combine like terms: 32 + -8 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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