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Simplifying 8(4x + 8) = -4(4x + -4) Reorder the terms: 8(8 + 4x) = -4(4x + -4) (8 * 8 + 4x * 8) = -4(4x + -4) (64 + 32x) = -4(4x + -4) Reorder the terms: 64 + 32x = -4(-4 + 4x) 64 + 32x = (-4 * -4 + 4x * -4) 64 + 32x = (16 + -16x) Solving 64 + 32x = 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. 64 + 32x + 16x = 16 + -16x + 16x Combine like terms: 32x + 16x = 48x 64 + 48x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 64 + 48x = 16 + 0 64 + 48x = 16 Add '-64' to each side of the equation. 64 + -64 + 48x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 48x = 16 + -64 48x = 16 + -64 Combine like terms: 16 + -64 = -48 48x = -48 Divide each side by '48'. x = -1 Simplifying x = -1
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