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Simplifying 10(3x + 2) + 5(2x + -1) = 22 Reorder the terms: 10(2 + 3x) + 5(2x + -1) = 22 (2 * 10 + 3x * 10) + 5(2x + -1) = 22 (20 + 30x) + 5(2x + -1) = 22 Reorder the terms: 20 + 30x + 5(-1 + 2x) = 22 20 + 30x + (-1 * 5 + 2x * 5) = 22 20 + 30x + (-5 + 10x) = 22 Reorder the terms: 20 + -5 + 30x + 10x = 22 Combine like terms: 20 + -5 = 15 15 + 30x + 10x = 22 Combine like terms: 30x + 10x = 40x 15 + 40x = 22 Solving 15 + 40x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 40x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 40x = 22 + -15 40x = 22 + -15 Combine like terms: 22 + -15 = 7 40x = 7 Divide each side by '40'. x = 0.175 Simplifying x = 0.175
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