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Simplifying -8x + 32 = -4(4x + 4) Reorder the terms: 32 + -8x = -4(4x + 4) Reorder the terms: 32 + -8x = -4(4 + 4x) 32 + -8x = (4 * -4 + 4x * -4) 32 + -8x = (-16 + -16x) Solving 32 + -8x = -16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 32 + -8x + 16x = -16 + -16x + 16x Combine like terms: -8x + 16x = 8x 32 + 8x = -16 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + 8x = -16 + 0 32 + 8x = -16 Add '-32' to each side of the equation. 32 + -32 + 8x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -16 + -32 8x = -16 + -32 Combine like terms: -16 + -32 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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