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Simplifying 3(2x + -1) + 4(2x + 5) = 45 Reorder the terms: 3(-1 + 2x) + 4(2x + 5) = 45 (-1 * 3 + 2x * 3) + 4(2x + 5) = 45 (-3 + 6x) + 4(2x + 5) = 45 Reorder the terms: -3 + 6x + 4(5 + 2x) = 45 -3 + 6x + (5 * 4 + 2x * 4) = 45 -3 + 6x + (20 + 8x) = 45 Reorder the terms: -3 + 20 + 6x + 8x = 45 Combine like terms: -3 + 20 = 17 17 + 6x + 8x = 45 Combine like terms: 6x + 8x = 14x 17 + 14x = 45 Solving 17 + 14x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 14x = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 45 + -17 14x = 45 + -17 Combine like terms: 45 + -17 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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