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Simplifying (2 + 4x) * 6 = (6x + 2) + -2 Reorder the terms for easier multiplication: 6(2 + 4x) = (6x + 2) + -2 (2 * 6 + 4x * 6) = (6x + 2) + -2 (12 + 24x) = (6x + 2) + -2 Reorder the terms: 12 + 24x = (2 + 6x) + -2 Remove parenthesis around (2 + 6x) 12 + 24x = 2 + 6x + -2 Reorder the terms: 12 + 24x = 2 + -2 + 6x Combine like terms: 2 + -2 = 0 12 + 24x = 0 + 6x 12 + 24x = 6x Solving 12 + 24x = 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. 12 + 24x + -6x = 6x + -6x Combine like terms: 24x + -6x = 18x 12 + 18x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + 18x = 0 Add '-12' to each side of the equation. 12 + -12 + 18x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 0 + -12 18x = 0 + -12 Combine like terms: 0 + -12 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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