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Simplifying 12(x + 5) = 15(x + 1) Reorder the terms: 12(5 + x) = 15(x + 1) (5 * 12 + x * 12) = 15(x + 1) (60 + 12x) = 15(x + 1) Reorder the terms: 60 + 12x = 15(1 + x) 60 + 12x = (1 * 15 + x * 15) 60 + 12x = (15 + 15x) Solving 60 + 12x = 15 + 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. 60 + 12x + -15x = 15 + 15x + -15x Combine like terms: 12x + -15x = -3x 60 + -3x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 60 + -3x = 15 + 0 60 + -3x = 15 Add '-60' to each side of the equation. 60 + -60 + -3x = 15 + -60 Combine like terms: 60 + -60 = 0 0 + -3x = 15 + -60 -3x = 15 + -60 Combine like terms: 15 + -60 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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