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Simplifying 5(2x + 3) + -3(2 + x) = 22 Reorder the terms: 5(3 + 2x) + -3(2 + x) = 22 (3 * 5 + 2x * 5) + -3(2 + x) = 22 (15 + 10x) + -3(2 + x) = 22 15 + 10x + (2 * -3 + x * -3) = 22 15 + 10x + (-6 + -3x) = 22 Reorder the terms: 15 + -6 + 10x + -3x = 22 Combine like terms: 15 + -6 = 9 9 + 10x + -3x = 22 Combine like terms: 10x + -3x = 7x 9 + 7x = 22 Solving 9 + 7x = 22 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 + 7x = 22 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 22 + -9 7x = 22 + -9 Combine like terms: 22 + -9 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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