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Simplifying -4x + 32 = 4(2x + -4) Reorder the terms: 32 + -4x = 4(2x + -4) Reorder the terms: 32 + -4x = 4(-4 + 2x) 32 + -4x = (-4 * 4 + 2x * 4) 32 + -4x = (-16 + 8x) Solving 32 + -4x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + -4x + -8x = -16 + 8x + -8x Combine like terms: -4x + -8x = -12x 32 + -12x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -12x = -16 + 0 32 + -12x = -16 Add '-32' to each side of the equation. 32 + -32 + -12x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = -16 + -32 -12x = -16 + -32 Combine like terms: -16 + -32 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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