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Simplifying 8 = -4(x + -2) + 8(x + -4) Reorder the terms: 8 = -4(-2 + x) + 8(x + -4) 8 = (-2 * -4 + x * -4) + 8(x + -4) 8 = (8 + -4x) + 8(x + -4) Reorder the terms: 8 = 8 + -4x + 8(-4 + x) 8 = 8 + -4x + (-4 * 8 + x * 8) 8 = 8 + -4x + (-32 + 8x) Reorder the terms: 8 = 8 + -32 + -4x + 8x Combine like terms: 8 + -32 = -24 8 = -24 + -4x + 8x Combine like terms: -4x + 8x = 4x 8 = -24 + 4x Solving 8 = -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. 8 + -4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -4x = -24 + 0 8 + -4x = -24 Add '-8' to each side of the equation. 8 + -8 + -4x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -24 + -8 -4x = -24 + -8 Combine like terms: -24 + -8 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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