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Simplifying 75 = 15(2x + 1) Reorder the terms: 75 = 15(1 + 2x) 75 = (1 * 15 + 2x * 15) 75 = (15 + 30x) Solving 75 = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 75 + -30x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 75 + -30x = 15 + 0 75 + -30x = 15 Add '-75' to each side of the equation. 75 + -75 + -30x = 15 + -75 Combine like terms: 75 + -75 = 0 0 + -30x = 15 + -75 -30x = 15 + -75 Combine like terms: 15 + -75 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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