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Simplifying -8(-2 + x) + -4 = 32 + -3x (-2 * -8 + x * -8) + -4 = 32 + -3x (16 + -8x) + -4 = 32 + -3x Reorder the terms: 16 + -4 + -8x = 32 + -3x Combine like terms: 16 + -4 = 12 12 + -8x = 32 + -3x Solving 12 + -8x = 32 + -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 + -8x + 3x = 32 + -3x + 3x Combine like terms: -8x + 3x = -5x 12 + -5x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -5x = 32 + 0 12 + -5x = 32 Add '-12' to each side of the equation. 12 + -12 + -5x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 32 + -12 -5x = 32 + -12 Combine like terms: 32 + -12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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