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Simplifying 3(5 + 3x) + 5(-1x + -1) = 22 (5 * 3 + 3x * 3) + 5(-1x + -1) = 22 (15 + 9x) + 5(-1x + -1) = 22 Reorder the terms: 15 + 9x + 5(-1 + -1x) = 22 15 + 9x + (-1 * 5 + -1x * 5) = 22 15 + 9x + (-5 + -5x) = 22 Reorder the terms: 15 + -5 + 9x + -5x = 22 Combine like terms: 15 + -5 = 10 10 + 9x + -5x = 22 Combine like terms: 9x + -5x = 4x 10 + 4x = 22 Solving 10 + 4x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 22 + -10 4x = 22 + -10 Combine like terms: 22 + -10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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