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Simplifying 2(2x + -3) + 3(5 + -1x) = 18 Reorder the terms: 2(-3 + 2x) + 3(5 + -1x) = 18 (-3 * 2 + 2x * 2) + 3(5 + -1x) = 18 (-6 + 4x) + 3(5 + -1x) = 18 -6 + 4x + (5 * 3 + -1x * 3) = 18 -6 + 4x + (15 + -3x) = 18 Reorder the terms: -6 + 15 + 4x + -3x = 18 Combine like terms: -6 + 15 = 9 9 + 4x + -3x = 18 Combine like terms: 4x + -3x = 1x 9 + 1x = 18 Solving 9 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 18 + -9 1x = 18 + -9 Combine like terms: 18 + -9 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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