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Simplifying 5(3x + 12) = 6(x + 2) Reorder the terms: 5(12 + 3x) = 6(x + 2) (12 * 5 + 3x * 5) = 6(x + 2) (60 + 15x) = 6(x + 2) Reorder the terms: 60 + 15x = 6(2 + x) 60 + 15x = (2 * 6 + x * 6) 60 + 15x = (12 + 6x) Solving 60 + 15x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 60 + 15x + -6x = 12 + 6x + -6x Combine like terms: 15x + -6x = 9x 60 + 9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 60 + 9x = 12 + 0 60 + 9x = 12 Add '-60' to each side of the equation. 60 + -60 + 9x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 9x = 12 + -60 9x = 12 + -60 Combine like terms: 12 + -60 = -48 9x = -48 Divide each side by '9'. x = -5.333333333 Simplifying x = -5.333333333
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