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Simplifying 2(2x + 2) + 3(3x + -7) = 22 Reorder the terms: 2(2 + 2x) + 3(3x + -7) = 22 (2 * 2 + 2x * 2) + 3(3x + -7) = 22 (4 + 4x) + 3(3x + -7) = 22 Reorder the terms: 4 + 4x + 3(-7 + 3x) = 22 4 + 4x + (-7 * 3 + 3x * 3) = 22 4 + 4x + (-21 + 9x) = 22 Reorder the terms: 4 + -21 + 4x + 9x = 22 Combine like terms: 4 + -21 = -17 -17 + 4x + 9x = 22 Combine like terms: 4x + 9x = 13x -17 + 13x = 22 Solving -17 + 13x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 22 + 17 13x = 22 + 17 Combine like terms: 22 + 17 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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