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Simplifying -4(x + -6) + 4x = 8(x + -8) Reorder the terms: -4(-6 + x) + 4x = 8(x + -8) (-6 * -4 + x * -4) + 4x = 8(x + -8) (24 + -4x) + 4x = 8(x + -8) Combine like terms: -4x + 4x = 0 24 + 0 = 8(x + -8) 24 = 8(x + -8) Reorder the terms: 24 = 8(-8 + x) 24 = (-8 * 8 + x * 8) 24 = (-64 + 8x) Solving 24 = -64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -8x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -8x = -64 + 0 24 + -8x = -64 Add '-24' to each side of the equation. 24 + -24 + -8x = -64 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -64 + -24 -8x = -64 + -24 Combine like terms: -64 + -24 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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