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Simplifying 5(x + 3) + 2(x + -1) = 20 Reorder the terms: 5(3 + x) + 2(x + -1) = 20 (3 * 5 + x * 5) + 2(x + -1) = 20 (15 + 5x) + 2(x + -1) = 20 Reorder the terms: 15 + 5x + 2(-1 + x) = 20 15 + 5x + (-1 * 2 + x * 2) = 20 15 + 5x + (-2 + 2x) = 20 Reorder the terms: 15 + -2 + 5x + 2x = 20 Combine like terms: 15 + -2 = 13 13 + 5x + 2x = 20 Combine like terms: 5x + 2x = 7x 13 + 7x = 20 Solving 13 + 7x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 20 + -13 7x = 20 + -13 Combine like terms: 20 + -13 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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