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Simplifying 15(2x + -1) = 5(x + 2) + 2x Reorder the terms: 15(-1 + 2x) = 5(x + 2) + 2x (-1 * 15 + 2x * 15) = 5(x + 2) + 2x (-15 + 30x) = 5(x + 2) + 2x Reorder the terms: -15 + 30x = 5(2 + x) + 2x -15 + 30x = (2 * 5 + x * 5) + 2x -15 + 30x = (10 + 5x) + 2x Combine like terms: 5x + 2x = 7x -15 + 30x = 10 + 7x Solving -15 + 30x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 30x + -7x = 10 + 7x + -7x Combine like terms: 30x + -7x = 23x -15 + 23x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 23x = 10 + 0 -15 + 23x = 10 Add '15' to each side of the equation. -15 + 15 + 23x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 23x = 10 + 15 23x = 10 + 15 Combine like terms: 10 + 15 = 25 23x = 25 Divide each side by '23'. x = 1.086956522 Simplifying x = 1.086956522
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