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Simplifying -6(x + -4) = -8(x + -6) Reorder the terms: -6(-4 + x) = -8(x + -6) (-4 * -6 + x * -6) = -8(x + -6) (24 + -6x) = -8(x + -6) Reorder the terms: 24 + -6x = -8(-6 + x) 24 + -6x = (-6 * -8 + x * -8) 24 + -6x = (48 + -8x) Solving 24 + -6x = 48 + -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 + -6x + 8x = 48 + -8x + 8x Combine like terms: -6x + 8x = 2x 24 + 2x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 2x = 48 + 0 24 + 2x = 48 Add '-24' to each side of the equation. 24 + -24 + 2x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 48 + -24 2x = 48 + -24 Combine like terms: 48 + -24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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