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Simplifying 5(2x + 3) + -3(3x + -2) = 22 Reorder the terms: 5(3 + 2x) + -3(3x + -2) = 22 (3 * 5 + 2x * 5) + -3(3x + -2) = 22 (15 + 10x) + -3(3x + -2) = 22 Reorder the terms: 15 + 10x + -3(-2 + 3x) = 22 15 + 10x + (-2 * -3 + 3x * -3) = 22 15 + 10x + (6 + -9x) = 22 Reorder the terms: 15 + 6 + 10x + -9x = 22 Combine like terms: 15 + 6 = 21 21 + 10x + -9x = 22 Combine like terms: 10x + -9x = 1x 21 + 1x = 22 Solving 21 + 1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1x = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 22 + -21 1x = 22 + -21 Combine like terms: 22 + -21 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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