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Simplifying -5(x + -4) = -6(x + 8) Reorder the terms: -5(-4 + x) = -6(x + 8) (-4 * -5 + x * -5) = -6(x + 8) (20 + -5x) = -6(x + 8) Reorder the terms: 20 + -5x = -6(8 + x) 20 + -5x = (8 * -6 + x * -6) 20 + -5x = (-48 + -6x) Solving 20 + -5x = -48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + -5x + 6x = -48 + -6x + 6x Combine like terms: -5x + 6x = 1x 20 + 1x = -48 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 1x = -48 + 0 20 + 1x = -48 Add '-20' to each side of the equation. 20 + -20 + 1x = -48 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -48 + -20 1x = -48 + -20 Combine like terms: -48 + -20 = -68 1x = -68 Divide each side by '1'. x = -68 Simplifying x = -68
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