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Simplifying -5(x + -5) = 3(10 + -2x) Reorder the terms: -5(-5 + x) = 3(10 + -2x) (-5 * -5 + x * -5) = 3(10 + -2x) (25 + -5x) = 3(10 + -2x) 25 + -5x = (10 * 3 + -2x * 3) 25 + -5x = (30 + -6x) Solving 25 + -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. 25 + -5x + 6x = 30 + -6x + 6x Combine like terms: -5x + 6x = 1x 25 + 1x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 25 + 1x = 30 + 0 25 + 1x = 30 Add '-25' to each side of the equation. 25 + -25 + 1x = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 30 + -25 1x = 30 + -25 Combine like terms: 30 + -25 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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