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Simplifying 2(x + -3) + 3(2x + 5) = 33 Reorder the terms: 2(-3 + x) + 3(2x + 5) = 33 (-3 * 2 + x * 2) + 3(2x + 5) = 33 (-6 + 2x) + 3(2x + 5) = 33 Reorder the terms: -6 + 2x + 3(5 + 2x) = 33 -6 + 2x + (5 * 3 + 2x * 3) = 33 -6 + 2x + (15 + 6x) = 33 Reorder the terms: -6 + 15 + 2x + 6x = 33 Combine like terms: -6 + 15 = 9 9 + 2x + 6x = 33 Combine like terms: 2x + 6x = 8x 9 + 8x = 33 Solving 9 + 8x = 33 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 + 8x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 33 + -9 8x = 33 + -9 Combine like terms: 33 + -9 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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