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Simplifying 3(x + 4 + -2) = 18 + 2x Reorder the terms: 3(4 + -2 + x) = 18 + 2x Combine like terms: 4 + -2 = 2 3(2 + x) = 18 + 2x (2 * 3 + x * 3) = 18 + 2x (6 + 3x) = 18 + 2x Solving 6 + 3x = 18 + 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. 6 + 3x + -2x = 18 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = 18 + 0 6 + 1x = 18 Add '-6' to each side of the equation. 6 + -6 + 1x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 18 + -6 1x = 18 + -6 Combine like terms: 18 + -6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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