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Simplifying 3(x + 5) + -1(x + -3) = 20 Reorder the terms: 3(5 + x) + -1(x + -3) = 20 (5 * 3 + x * 3) + -1(x + -3) = 20 (15 + 3x) + -1(x + -3) = 20 Reorder the terms: 15 + 3x + -1(-3 + x) = 20 15 + 3x + (-3 * -1 + x * -1) = 20 15 + 3x + (3 + -1x) = 20 Reorder the terms: 15 + 3 + 3x + -1x = 20 Combine like terms: 15 + 3 = 18 18 + 3x + -1x = 20 Combine like terms: 3x + -1x = 2x 18 + 2x = 20 Solving 18 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 20 + -18 2x = 20 + -18 Combine like terms: 20 + -18 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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