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Simplifying -4(x + -6) = -8(x + -4) Reorder the terms: -4(-6 + x) = -8(x + -4) (-6 * -4 + x * -4) = -8(x + -4) (24 + -4x) = -8(x + -4) Reorder the terms: 24 + -4x = -8(-4 + x) 24 + -4x = (-4 * -8 + x * -8) 24 + -4x = (32 + -8x) Solving 24 + -4x = 32 + -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 + -4x + 8x = 32 + -8x + 8x Combine like terms: -4x + 8x = 4x 24 + 4x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 4x = 32 + 0 24 + 4x = 32 Add '-24' to each side of the equation. 24 + -24 + 4x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 32 + -24 4x = 32 + -24 Combine like terms: 32 + -24 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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