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Simplifying 6(x + 3) = 3(x + 14) Reorder the terms: 6(3 + x) = 3(x + 14) (3 * 6 + x * 6) = 3(x + 14) (18 + 6x) = 3(x + 14) Reorder the terms: 18 + 6x = 3(14 + x) 18 + 6x = (14 * 3 + x * 3) 18 + 6x = (42 + 3x) Solving 18 + 6x = 42 + 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. 18 + 6x + -3x = 42 + 3x + -3x Combine like terms: 6x + -3x = 3x 18 + 3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 3x = 42 + 0 18 + 3x = 42 Add '-18' to each side of the equation. 18 + -18 + 3x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 42 + -18 3x = 42 + -18 Combine like terms: 42 + -18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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