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Simplifying 5(5x + -15) = 15(x + -15) Reorder the terms: 5(-15 + 5x) = 15(x + -15) (-15 * 5 + 5x * 5) = 15(x + -15) (-75 + 25x) = 15(x + -15) Reorder the terms: -75 + 25x = 15(-15 + x) -75 + 25x = (-15 * 15 + x * 15) -75 + 25x = (-225 + 15x) Solving -75 + 25x = -225 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -75 + 25x + -15x = -225 + 15x + -15x Combine like terms: 25x + -15x = 10x -75 + 10x = -225 + 15x + -15x Combine like terms: 15x + -15x = 0 -75 + 10x = -225 + 0 -75 + 10x = -225 Add '75' to each side of the equation. -75 + 75 + 10x = -225 + 75 Combine like terms: -75 + 75 = 0 0 + 10x = -225 + 75 10x = -225 + 75 Combine like terms: -225 + 75 = -150 10x = -150 Divide each side by '10'. x = -15 Simplifying x = -15
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