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Simplifying 2(2x + -3) + 3(2x + 3) = 23 Reorder the terms: 2(-3 + 2x) + 3(2x + 3) = 23 (-3 * 2 + 2x * 2) + 3(2x + 3) = 23 (-6 + 4x) + 3(2x + 3) = 23 Reorder the terms: -6 + 4x + 3(3 + 2x) = 23 -6 + 4x + (3 * 3 + 2x * 3) = 23 -6 + 4x + (9 + 6x) = 23 Reorder the terms: -6 + 9 + 4x + 6x = 23 Combine like terms: -6 + 9 = 3 3 + 4x + 6x = 23 Combine like terms: 4x + 6x = 10x 3 + 10x = 23 Solving 3 + 10x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 23 + -3 10x = 23 + -3 Combine like terms: 23 + -3 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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