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Simplifying -1x + -5(x + -9) = -5(x + -5) + -5 Reorder the terms: -1x + -5(-9 + x) = -5(x + -5) + -5 -1x + (-9 * -5 + x * -5) = -5(x + -5) + -5 -1x + (45 + -5x) = -5(x + -5) + -5 Reorder the terms: 45 + -1x + -5x = -5(x + -5) + -5 Combine like terms: -1x + -5x = -6x 45 + -6x = -5(x + -5) + -5 Reorder the terms: 45 + -6x = -5(-5 + x) + -5 45 + -6x = (-5 * -5 + x * -5) + -5 45 + -6x = (25 + -5x) + -5 Reorder the terms: 45 + -6x = 25 + -5 + -5x Combine like terms: 25 + -5 = 20 45 + -6x = 20 + -5x Solving 45 + -6x = 20 + -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. 45 + -6x + 5x = 20 + -5x + 5x Combine like terms: -6x + 5x = -1x 45 + -1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + -1x = 20 + 0 45 + -1x = 20 Add '-45' to each side of the equation. 45 + -45 + -1x = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 20 + -45 -1x = 20 + -45 Combine like terms: 20 + -45 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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