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Simplifying 15(2x + -1) = 5(x + 2) + 2 Reorder the terms: 15(-1 + 2x) = 5(x + 2) + 2 (-1 * 15 + 2x * 15) = 5(x + 2) + 2 (-15 + 30x) = 5(x + 2) + 2 Reorder the terms: -15 + 30x = 5(2 + x) + 2 -15 + 30x = (2 * 5 + x * 5) + 2 -15 + 30x = (10 + 5x) + 2 Reorder the terms: -15 + 30x = 10 + 2 + 5x Combine like terms: 10 + 2 = 12 -15 + 30x = 12 + 5x Solving -15 + 30x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 30x + -5x = 12 + 5x + -5x Combine like terms: 30x + -5x = 25x -15 + 25x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 25x = 12 + 0 -15 + 25x = 12 Add '15' to each side of the equation. -15 + 15 + 25x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 25x = 12 + 15 25x = 12 + 15 Combine like terms: 12 + 15 = 27 25x = 27 Divide each side by '25'. x = 1.08 Simplifying x = 1.08
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