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Simplifying 5(5 + 2x) = 9(x + -5) (5 * 5 + 2x * 5) = 9(x + -5) (25 + 10x) = 9(x + -5) Reorder the terms: 25 + 10x = 9(-5 + x) 25 + 10x = (-5 * 9 + x * 9) 25 + 10x = (-45 + 9x) Solving 25 + 10x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 10x + -9x = -45 + 9x + -9x Combine like terms: 10x + -9x = 1x 25 + 1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 1x = -45 + 0 25 + 1x = -45 Add '-25' to each side of the equation. 25 + -25 + 1x = -45 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -45 + -25 1x = -45 + -25 Combine like terms: -45 + -25 = -70 1x = -70 Divide each side by '1'. x = -70 Simplifying x = -70
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