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Simplifying 5(x + 1) + -3(x + -3) = 17 Reorder the terms: 5(1 + x) + -3(x + -3) = 17 (1 * 5 + x * 5) + -3(x + -3) = 17 (5 + 5x) + -3(x + -3) = 17 Reorder the terms: 5 + 5x + -3(-3 + x) = 17 5 + 5x + (-3 * -3 + x * -3) = 17 5 + 5x + (9 + -3x) = 17 Reorder the terms: 5 + 9 + 5x + -3x = 17 Combine like terms: 5 + 9 = 14 14 + 5x + -3x = 17 Combine like terms: 5x + -3x = 2x 14 + 2x = 17 Solving 14 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 17 + -14 2x = 17 + -14 Combine like terms: 17 + -14 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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