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Simplifying 13(3 + -2x) + 4(x + 1) = 7 (3 * 13 + -2x * 13) + 4(x + 1) = 7 (39 + -26x) + 4(x + 1) = 7 Reorder the terms: 39 + -26x + 4(1 + x) = 7 39 + -26x + (1 * 4 + x * 4) = 7 39 + -26x + (4 + 4x) = 7 Reorder the terms: 39 + 4 + -26x + 4x = 7 Combine like terms: 39 + 4 = 43 43 + -26x + 4x = 7 Combine like terms: -26x + 4x = -22x 43 + -22x = 7 Solving 43 + -22x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -22x = 7 + -43 Combine like terms: 43 + -43 = 0 0 + -22x = 7 + -43 -22x = 7 + -43 Combine like terms: 7 + -43 = -36 -22x = -36 Divide each side by '-22'. x = 1.636363636 Simplifying x = 1.636363636
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