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Simplifying 5(3x + -9) = 6(5x + -20) Reorder the terms: 5(-9 + 3x) = 6(5x + -20) (-9 * 5 + 3x * 5) = 6(5x + -20) (-45 + 15x) = 6(5x + -20) Reorder the terms: -45 + 15x = 6(-20 + 5x) -45 + 15x = (-20 * 6 + 5x * 6) -45 + 15x = (-120 + 30x) Solving -45 + 15x = -120 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -45 + 15x + -30x = -120 + 30x + -30x Combine like terms: 15x + -30x = -15x -45 + -15x = -120 + 30x + -30x Combine like terms: 30x + -30x = 0 -45 + -15x = -120 + 0 -45 + -15x = -120 Add '45' to each side of the equation. -45 + 45 + -15x = -120 + 45 Combine like terms: -45 + 45 = 0 0 + -15x = -120 + 45 -15x = -120 + 45 Combine like terms: -120 + 45 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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