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Simplifying 3(x + 6) + 4x = 6(x + 6) Reorder the terms: 3(6 + x) + 4x = 6(x + 6) (6 * 3 + x * 3) + 4x = 6(x + 6) (18 + 3x) + 4x = 6(x + 6) Combine like terms: 3x + 4x = 7x 18 + 7x = 6(x + 6) Reorder the terms: 18 + 7x = 6(6 + x) 18 + 7x = (6 * 6 + x * 6) 18 + 7x = (36 + 6x) Solving 18 + 7x = 36 + 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. 18 + 7x + -6x = 36 + 6x + -6x Combine like terms: 7x + -6x = 1x 18 + 1x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 1x = 36 + 0 18 + 1x = 36 Add '-18' to each side of the equation. 18 + -18 + 1x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 36 + -18 1x = 36 + -18 Combine like terms: 36 + -18 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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