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Simplifying (12)(15) = (x + 8)(15) Multiply 12 * 15 180 = (x + 8)(15) Reorder the terms: 180 = (8 + x)(15) Reorder the terms for easier multiplication: 180 = 15(8 + x) 180 = (8 * 15 + x * 15) 180 = (120 + 15x) Solving 180 = 120 + 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. 180 + -15x = 120 + 15x + -15x Combine like terms: 15x + -15x = 0 180 + -15x = 120 + 0 180 + -15x = 120 Add '-180' to each side of the equation. 180 + -180 + -15x = 120 + -180 Combine like terms: 180 + -180 = 0 0 + -15x = 120 + -180 -15x = 120 + -180 Combine like terms: 120 + -180 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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