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Simplifying 6(x + 8) = 5(x + -5) Reorder the terms: 6(8 + x) = 5(x + -5) (8 * 6 + x * 6) = 5(x + -5) (48 + 6x) = 5(x + -5) Reorder the terms: 48 + 6x = 5(-5 + x) 48 + 6x = (-5 * 5 + x * 5) 48 + 6x = (-25 + 5x) Solving 48 + 6x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + 6x + -5x = -25 + 5x + -5x Combine like terms: 6x + -5x = 1x 48 + 1x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 1x = -25 + 0 48 + 1x = -25 Add '-48' to each side of the equation. 48 + -48 + 1x = -25 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = -25 + -48 1x = -25 + -48 Combine like terms: -25 + -48 = -73 1x = -73 Divide each side by '1'. x = -73 Simplifying x = -73
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