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Simplifying 2(3 + -7x) = 4x + 2 (3 * 2 + -7x * 2) = 4x + 2 (6 + -14x) = 4x + 2 Reorder the terms: 6 + -14x = 2 + 4x Solving 6 + -14x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -14x + -4x = 2 + 4x + -4x Combine like terms: -14x + -4x = -18x 6 + -18x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -18x = 2 + 0 6 + -18x = 2 Add '-6' to each side of the equation. 6 + -6 + -18x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 2 + -6 -18x = 2 + -6 Combine like terms: 2 + -6 = -4 -18x = -4 Divide each side by '-18'. x = 0.2222222222 Simplifying x = 0.2222222222
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