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Simplifying 6(x + 5) = 3(x + 18) Reorder the terms: 6(5 + x) = 3(x + 18) (5 * 6 + x * 6) = 3(x + 18) (30 + 6x) = 3(x + 18) Reorder the terms: 30 + 6x = 3(18 + x) 30 + 6x = (18 * 3 + x * 3) 30 + 6x = (54 + 3x) Solving 30 + 6x = 54 + 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. 30 + 6x + -3x = 54 + 3x + -3x Combine like terms: 6x + -3x = 3x 30 + 3x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 3x = 54 + 0 30 + 3x = 54 Add '-30' to each side of the equation. 30 + -30 + 3x = 54 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 54 + -30 3x = 54 + -30 Combine like terms: 54 + -30 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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