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Simplifying 6(x + 3) + 3x = 3(x + 2) Reorder the terms: 6(3 + x) + 3x = 3(x + 2) (3 * 6 + x * 6) + 3x = 3(x + 2) (18 + 6x) + 3x = 3(x + 2) Combine like terms: 6x + 3x = 9x 18 + 9x = 3(x + 2) Reorder the terms: 18 + 9x = 3(2 + x) 18 + 9x = (2 * 3 + x * 3) 18 + 9x = (6 + 3x) Solving 18 + 9x = 6 + 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 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = 6 + 0 18 + 6x = 6 Add '-18' to each side of the equation. 18 + -18 + 6x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 6 + -18 6x = 6 + -18 Combine like terms: 6 + -18 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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