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Simplifying 15(20 + -2x) = 5(3x + -12) (20 * 15 + -2x * 15) = 5(3x + -12) (300 + -30x) = 5(3x + -12) Reorder the terms: 300 + -30x = 5(-12 + 3x) 300 + -30x = (-12 * 5 + 3x * 5) 300 + -30x = (-60 + 15x) Solving 300 + -30x = -60 + 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. 300 + -30x + -15x = -60 + 15x + -15x Combine like terms: -30x + -15x = -45x 300 + -45x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 300 + -45x = -60 + 0 300 + -45x = -60 Add '-300' to each side of the equation. 300 + -300 + -45x = -60 + -300 Combine like terms: 300 + -300 = 0 0 + -45x = -60 + -300 -45x = -60 + -300 Combine like terms: -60 + -300 = -360 -45x = -360 Divide each side by '-45'. x = 8 Simplifying x = 8
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