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Simplifying 3(x + 5) + -2(x + 3) = 20 Reorder the terms: 3(5 + x) + -2(x + 3) = 20 (5 * 3 + x * 3) + -2(x + 3) = 20 (15 + 3x) + -2(x + 3) = 20 Reorder the terms: 15 + 3x + -2(3 + x) = 20 15 + 3x + (3 * -2 + x * -2) = 20 15 + 3x + (-6 + -2x) = 20 Reorder the terms: 15 + -6 + 3x + -2x = 20 Combine like terms: 15 + -6 = 9 9 + 3x + -2x = 20 Combine like terms: 3x + -2x = 1x 9 + 1x = 20 Solving 9 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 20 + -9 1x = 20 + -9 Combine like terms: 20 + -9 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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