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Simplifying 5(x + 1) = 2(13 + -1x) Reorder the terms: 5(1 + x) = 2(13 + -1x) (1 * 5 + x * 5) = 2(13 + -1x) (5 + 5x) = 2(13 + -1x) 5 + 5x = (13 * 2 + -1x * 2) 5 + 5x = (26 + -2x) Solving 5 + 5x = 26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 5x + 2x = 26 + -2x + 2x Combine like terms: 5x + 2x = 7x 5 + 7x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 7x = 26 + 0 5 + 7x = 26 Add '-5' to each side of the equation. 5 + -5 + 7x = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 26 + -5 7x = 26 + -5 Combine like terms: 26 + -5 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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