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Simplifying 5(x + 2) + 3(2x + -3) = 34 Reorder the terms: 5(2 + x) + 3(2x + -3) = 34 (2 * 5 + x * 5) + 3(2x + -3) = 34 (10 + 5x) + 3(2x + -3) = 34 Reorder the terms: 10 + 5x + 3(-3 + 2x) = 34 10 + 5x + (-3 * 3 + 2x * 3) = 34 10 + 5x + (-9 + 6x) = 34 Reorder the terms: 10 + -9 + 5x + 6x = 34 Combine like terms: 10 + -9 = 1 1 + 5x + 6x = 34 Combine like terms: 5x + 6x = 11x 1 + 11x = 34 Solving 1 + 11x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = 34 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 34 + -1 11x = 34 + -1 Combine like terms: 34 + -1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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