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Simplifying (6 + 2x) * 3 = 6 + 3x Reorder the terms for easier multiplication: 3(6 + 2x) = 6 + 3x (6 * 3 + 2x * 3) = 6 + 3x (18 + 6x) = 6 + 3x Solving 18 + 6x = 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 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x 18 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 3x = 6 + 0 18 + 3x = 6 Add '-18' to each side of the equation. 18 + -18 + 3x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 6 + -18 3x = 6 + -18 Combine like terms: 6 + -18 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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