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Simplifying 5(x + -1) = 6(x + -5) Reorder the terms: 5(-1 + x) = 6(x + -5) (-1 * 5 + x * 5) = 6(x + -5) (-5 + 5x) = 6(x + -5) Reorder the terms: -5 + 5x = 6(-5 + x) -5 + 5x = (-5 * 6 + x * 6) -5 + 5x = (-30 + 6x) Solving -5 + 5x = -30 + 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. -5 + 5x + -6x = -30 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -30 + 0 -5 + -1x = -30 Add '5' to each side of the equation. -5 + 5 + -1x = -30 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -30 + 5 -1x = -30 + 5 Combine like terms: -30 + 5 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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