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Simplifying 4(8 + x) = -1(8 + 2x) + -8 (8 * 4 + x * 4) = -1(8 + 2x) + -8 (32 + 4x) = -1(8 + 2x) + -8 32 + 4x = (8 * -1 + 2x * -1) + -8 32 + 4x = (-8 + -2x) + -8 Reorder the terms: 32 + 4x = -8 + -8 + -2x Combine like terms: -8 + -8 = -16 32 + 4x = -16 + -2x Solving 32 + 4x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + 4x + 2x = -16 + -2x + 2x Combine like terms: 4x + 2x = 6x 32 + 6x = -16 + -2x + 2x Combine like terms: -2x + 2x = 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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