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Simplifying 4(-4x + -8) = 4(8x + 4) Reorder the terms: 4(-8 + -4x) = 4(8x + 4) (-8 * 4 + -4x * 4) = 4(8x + 4) (-32 + -16x) = 4(8x + 4) Reorder the terms: -32 + -16x = 4(4 + 8x) -32 + -16x = (4 * 4 + 8x * 4) -32 + -16x = (16 + 32x) Solving -32 + -16x = 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 + -16x + -32x = 16 + 32x + -32x Combine like terms: -16x + -32x = -48x -32 + -48x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -48x = 16 + 0 -32 + -48x = 16 Add '32' to each side of the equation. -32 + 32 + -48x = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -48x = 16 + 32 -48x = 16 + 32 Combine like terms: 16 + 32 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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