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Simplifying 5(x + 1) + -3(x + -2) = 13 Reorder the terms: 5(1 + x) + -3(x + -2) = 13 (1 * 5 + x * 5) + -3(x + -2) = 13 (5 + 5x) + -3(x + -2) = 13 Reorder the terms: 5 + 5x + -3(-2 + x) = 13 5 + 5x + (-2 * -3 + x * -3) = 13 5 + 5x + (6 + -3x) = 13 Reorder the terms: 5 + 6 + 5x + -3x = 13 Combine like terms: 5 + 6 = 11 11 + 5x + -3x = 13 Combine like terms: 5x + -3x = 2x 11 + 2x = 13 Solving 11 + 2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 13 + -11 2x = 13 + -11 Combine like terms: 13 + -11 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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