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Simplifying -6x + 24 = -5(x + -5) Reorder the terms: 24 + -6x = -5(x + -5) Reorder the terms: 24 + -6x = -5(-5 + x) 24 + -6x = (-5 * -5 + x * -5) 24 + -6x = (25 + -5x) Solving 24 + -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. 24 + -6x + 5x = 25 + -5x + 5x Combine like terms: -6x + 5x = -1x 24 + -1x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + -1x = 25 + 0 24 + -1x = 25 Add '-24' to each side of the equation. 24 + -24 + -1x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 25 + -24 -1x = 25 + -24 Combine like terms: 25 + -24 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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