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Simplifying 3(x + 2) + -5(2x + 1) = 22 Reorder the terms: 3(2 + x) + -5(2x + 1) = 22 (2 * 3 + x * 3) + -5(2x + 1) = 22 (6 + 3x) + -5(2x + 1) = 22 Reorder the terms: 6 + 3x + -5(1 + 2x) = 22 6 + 3x + (1 * -5 + 2x * -5) = 22 6 + 3x + (-5 + -10x) = 22 Reorder the terms: 6 + -5 + 3x + -10x = 22 Combine like terms: 6 + -5 = 1 1 + 3x + -10x = 22 Combine like terms: 3x + -10x = -7x 1 + -7x = 22 Solving 1 + -7x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 22 + -1 -7x = 22 + -1 Combine like terms: 22 + -1 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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