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Simplifying 2(2x + -3) + 2(3x + 5) = 34 Reorder the terms: 2(-3 + 2x) + 2(3x + 5) = 34 (-3 * 2 + 2x * 2) + 2(3x + 5) = 34 (-6 + 4x) + 2(3x + 5) = 34 Reorder the terms: -6 + 4x + 2(5 + 3x) = 34 -6 + 4x + (5 * 2 + 3x * 2) = 34 -6 + 4x + (10 + 6x) = 34 Reorder the terms: -6 + 10 + 4x + 6x = 34 Combine like terms: -6 + 10 = 4 4 + 4x + 6x = 34 Combine like terms: 4x + 6x = 10x 4 + 10x = 34 Solving 4 + 10x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 34 + -4 10x = 34 + -4 Combine like terms: 34 + -4 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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