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Simplifying (15x + 12)(15 + -12) = 255x + -144 Reorder the terms: (12 + 15x)(15 + -12) = 255x + -144 Combine like terms: 15 + -12 = 3 (12 + 15x)(3) = 255x + -144 Reorder the terms for easier multiplication: 3(12 + 15x) = 255x + -144 (12 * 3 + 15x * 3) = 255x + -144 (36 + 45x) = 255x + -144 Reorder the terms: 36 + 45x = -144 + 255x Solving 36 + 45x = -144 + 255x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-255x' to each side of the equation. 36 + 45x + -255x = -144 + 255x + -255x Combine like terms: 45x + -255x = -210x 36 + -210x = -144 + 255x + -255x Combine like terms: 255x + -255x = 0 36 + -210x = -144 + 0 36 + -210x = -144 Add '-36' to each side of the equation. 36 + -36 + -210x = -144 + -36 Combine like terms: 36 + -36 = 0 0 + -210x = -144 + -36 -210x = -144 + -36 Combine like terms: -144 + -36 = -180 -210x = -180 Divide each side by '-210'. x = 0.8571428571 Simplifying x = 0.8571428571
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