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Simplifying -4(x + -8) = -2(5x + 8) Reorder the terms: -4(-8 + x) = -2(5x + 8) (-8 * -4 + x * -4) = -2(5x + 8) (32 + -4x) = -2(5x + 8) Reorder the terms: 32 + -4x = -2(8 + 5x) 32 + -4x = (8 * -2 + 5x * -2) 32 + -4x = (-16 + -10x) Solving 32 + -4x = -16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 32 + -4x + 10x = -16 + -10x + 10x Combine like terms: -4x + 10x = 6x 32 + 6x = -16 + -10x + 10x Combine like terms: -10x + 10x = 0 32 + 6x = -16 + 0 32 + 6x = -16 Add '-32' to each side of the equation. 32 + -32 + 6x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = -16 + -32 6x = -16 + -32 Combine like terms: -16 + -32 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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