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Simplifying 4x + 32 = -2(-8x + -4) Reorder the terms: 32 + 4x = -2(-8x + -4) Reorder the terms: 32 + 4x = -2(-4 + -8x) 32 + 4x = (-4 * -2 + -8x * -2) 32 + 4x = (8 + 16x) Solving 32 + 4x = 8 + 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 + 4x + -16x = 8 + 16x + -16x Combine like terms: 4x + -16x = -12x 32 + -12x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -12x = 8 + 0 32 + -12x = 8 Add '-32' to each side of the equation. 32 + -32 + -12x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 8 + -32 -12x = 8 + -32 Combine like terms: 8 + -32 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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