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Simplifying 3(2x + -1) = 5(3x + -15) Reorder the terms: 3(-1 + 2x) = 5(3x + -15) (-1 * 3 + 2x * 3) = 5(3x + -15) (-3 + 6x) = 5(3x + -15) Reorder the terms: -3 + 6x = 5(-15 + 3x) -3 + 6x = (-15 * 5 + 3x * 5) -3 + 6x = (-75 + 15x) Solving -3 + 6x = -75 + 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. -3 + 6x + -15x = -75 + 15x + -15x Combine like terms: 6x + -15x = -9x -3 + -9x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -9x = -75 + 0 -3 + -9x = -75 Add '3' to each side of the equation. -3 + 3 + -9x = -75 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -75 + 3 -9x = -75 + 3 Combine like terms: -75 + 3 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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