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Simplifying 4(2x + -4) = 4(8x + 8) Reorder the terms: 4(-4 + 2x) = 4(8x + 8) (-4 * 4 + 2x * 4) = 4(8x + 8) (-16 + 8x) = 4(8x + 8) Reorder the terms: -16 + 8x = 4(8 + 8x) -16 + 8x = (8 * 4 + 8x * 4) -16 + 8x = (32 + 32x) Solving -16 + 8x = 32 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -16 + 8x + -32x = 32 + 32x + -32x Combine like terms: 8x + -32x = -24x -16 + -24x = 32 + 32x + -32x Combine like terms: 32x + -32x = 0 -16 + -24x = 32 + 0 -16 + -24x = 32 Add '16' to each side of the equation. -16 + 16 + -24x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -24x = 32 + 16 -24x = 32 + 16 Combine like terms: 32 + 16 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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