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Simplifying 12(5 + -1x) = 3(x + 5) (5 * 12 + -1x * 12) = 3(x + 5) (60 + -12x) = 3(x + 5) Reorder the terms: 60 + -12x = 3(5 + x) 60 + -12x = (5 * 3 + x * 3) 60 + -12x = (15 + 3x) Solving 60 + -12x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 60 + -12x + -3x = 15 + 3x + -3x Combine like terms: -12x + -3x = -15x 60 + -15x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + -15x = 15 + 0 60 + -15x = 15 Add '-60' to each side of the equation. 60 + -60 + -15x = 15 + -60 Combine like terms: 60 + -60 = 0 0 + -15x = 15 + -60 -15x = 15 + -60 Combine like terms: 15 + -60 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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