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Simplifying -4(2x + -5) + -8 = -12 + -5x Reorder the terms: -4(-5 + 2x) + -8 = -12 + -5x (-5 * -4 + 2x * -4) + -8 = -12 + -5x (20 + -8x) + -8 = -12 + -5x Reorder the terms: 20 + -8 + -8x = -12 + -5x Combine like terms: 20 + -8 = 12 12 + -8x = -12 + -5x Solving 12 + -8x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -8x + 5x = -12 + -5x + 5x Combine like terms: -8x + 5x = -3x 12 + -3x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -3x = -12 + 0 12 + -3x = -12 Add '-12' to each side of the equation. 12 + -12 + -3x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -12 + -12 -3x = -12 + -12 Combine like terms: -12 + -12 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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