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Simplifying 4(2x + -8) = 8(4x + 2) Reorder the terms: 4(-8 + 2x) = 8(4x + 2) (-8 * 4 + 2x * 4) = 8(4x + 2) (-32 + 8x) = 8(4x + 2) Reorder the terms: -32 + 8x = 8(2 + 4x) -32 + 8x = (2 * 8 + 4x * 8) -32 + 8x = (16 + 32x) Solving -32 + 8x = 16 + 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. -32 + 8x + -32x = 16 + 32x + -32x Combine like terms: 8x + -32x = -24x -32 + -24x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -24x = 16 + 0 -32 + -24x = 16 Add '32' to each side of the equation. -32 + 32 + -24x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = 16 + 32 -24x = 16 + 32 Combine like terms: 16 + 32 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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