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Simplifying 3(2x + 2) = 5(3x + -15) Reorder the terms: 3(2 + 2x) = 5(3x + -15) (2 * 3 + 2x * 3) = 5(3x + -15) (6 + 6x) = 5(3x + -15) Reorder the terms: 6 + 6x = 5(-15 + 3x) 6 + 6x = (-15 * 5 + 3x * 5) 6 + 6x = (-75 + 15x) Solving 6 + 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. 6 + 6x + -15x = -75 + 15x + -15x Combine like terms: 6x + -15x = -9x 6 + -9x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -9x = -75 + 0 6 + -9x = -75 Add '-6' to each side of the equation. 6 + -6 + -9x = -75 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -75 + -6 -9x = -75 + -6 Combine like terms: -75 + -6 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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