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Simplifying 8(x + 4) = 4(x + -6) Reorder the terms: 8(4 + x) = 4(x + -6) (4 * 8 + x * 8) = 4(x + -6) (32 + 8x) = 4(x + -6) Reorder the terms: 32 + 8x = 4(-6 + x) 32 + 8x = (-6 * 4 + x * 4) 32 + 8x = (-24 + 4x) Solving 32 + 8x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + 8x + -4x = -24 + 4x + -4x Combine like terms: 8x + -4x = 4x 32 + 4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 4x = -24 + 0 32 + 4x = -24 Add '-32' to each side of the equation. 32 + -32 + 4x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = -24 + -32 4x = -24 + -32 Combine like terms: -24 + -32 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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