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Simplifying 5(x + -10) = 13(10 + -1x) Reorder the terms: 5(-10 + x) = 13(10 + -1x) (-10 * 5 + x * 5) = 13(10 + -1x) (-50 + 5x) = 13(10 + -1x) -50 + 5x = (10 * 13 + -1x * 13) -50 + 5x = (130 + -13x) Solving -50 + 5x = 130 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -50 + 5x + 13x = 130 + -13x + 13x Combine like terms: 5x + 13x = 18x -50 + 18x = 130 + -13x + 13x Combine like terms: -13x + 13x = 0 -50 + 18x = 130 + 0 -50 + 18x = 130 Add '50' to each side of the equation. -50 + 50 + 18x = 130 + 50 Combine like terms: -50 + 50 = 0 0 + 18x = 130 + 50 18x = 130 + 50 Combine like terms: 130 + 50 = 180 18x = 180 Divide each side by '18'. x = 10 Simplifying x = 10
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