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Simplifying 15(2x + -5) + 2x = 5(5x + -15) + -7 Reorder the terms: 15(-5 + 2x) + 2x = 5(5x + -15) + -7 (-5 * 15 + 2x * 15) + 2x = 5(5x + -15) + -7 (-75 + 30x) + 2x = 5(5x + -15) + -7 Combine like terms: 30x + 2x = 32x -75 + 32x = 5(5x + -15) + -7 Reorder the terms: -75 + 32x = 5(-15 + 5x) + -7 -75 + 32x = (-15 * 5 + 5x * 5) + -7 -75 + 32x = (-75 + 25x) + -7 Reorder the terms: -75 + 32x = -75 + -7 + 25x Combine like terms: -75 + -7 = -82 -75 + 32x = -82 + 25x Solving -75 + 32x = -82 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -75 + 32x + -25x = -82 + 25x + -25x Combine like terms: 32x + -25x = 7x -75 + 7x = -82 + 25x + -25x Combine like terms: 25x + -25x = 0 -75 + 7x = -82 + 0 -75 + 7x = -82 Add '75' to each side of the equation. -75 + 75 + 7x = -82 + 75 Combine like terms: -75 + 75 = 0 0 + 7x = -82 + 75 7x = -82 + 75 Combine like terms: -82 + 75 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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