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Simplifying 6(x + 3) = 2(x + 27) Reorder the terms: 6(3 + x) = 2(x + 27) (3 * 6 + x * 6) = 2(x + 27) (18 + 6x) = 2(x + 27) Reorder the terms: 18 + 6x = 2(27 + x) 18 + 6x = (27 * 2 + x * 2) 18 + 6x = (54 + 2x) Solving 18 + 6x = 54 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 6x + -2x = 54 + 2x + -2x Combine like terms: 6x + -2x = 4x 18 + 4x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 4x = 54 + 0 18 + 4x = 54 Add '-18' to each side of the equation. 18 + -18 + 4x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 54 + -18 4x = 54 + -18 Combine like terms: 54 + -18 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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