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Simplifying 8(x + 4) = 2(x + -4) + 2x Reorder the terms: 8(4 + x) = 2(x + -4) + 2x (4 * 8 + x * 8) = 2(x + -4) + 2x (32 + 8x) = 2(x + -4) + 2x Reorder the terms: 32 + 8x = 2(-4 + x) + 2x 32 + 8x = (-4 * 2 + x * 2) + 2x 32 + 8x = (-8 + 2x) + 2x Combine like terms: 2x + 2x = 4x 32 + 8x = -8 + 4x Solving 32 + 8x = -8 + 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 = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x 32 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 4x = -8 + 0 32 + 4x = -8 Add '-32' to each side of the equation. 32 + -32 + 4x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = -8 + -32 4x = -8 + -32 Combine like terms: -8 + -32 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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