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Simplifying 18x + 6 = 3(x + 12) Reorder the terms: 6 + 18x = 3(x + 12) Reorder the terms: 6 + 18x = 3(12 + x) 6 + 18x = (12 * 3 + x * 3) 6 + 18x = (36 + 3x) Solving 6 + 18x = 36 + 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. 6 + 18x + -3x = 36 + 3x + -3x Combine like terms: 18x + -3x = 15x 6 + 15x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 15x = 36 + 0 6 + 15x = 36 Add '-6' to each side of the equation. 6 + -6 + 15x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 36 + -6 15x = 36 + -6 Combine like terms: 36 + -6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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