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Simplifying 1(2x + 6) = 3(2 + -4x) + 20 Reorder the terms: 1(6 + 2x) = 3(2 + -4x) + 20 (6 * 1 + 2x * 1) = 3(2 + -4x) + 20 (6 + 2x) = 3(2 + -4x) + 20 6 + 2x = (2 * 3 + -4x * 3) + 20 6 + 2x = (6 + -12x) + 20 Reorder the terms: 6 + 2x = 6 + 20 + -12x Combine like terms: 6 + 20 = 26 6 + 2x = 26 + -12x Solving 6 + 2x = 26 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + 2x + 12x = 26 + -12x + 12x Combine like terms: 2x + 12x = 14x 6 + 14x = 26 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 14x = 26 + 0 6 + 14x = 26 Add '-6' to each side of the equation. 6 + -6 + 14x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 26 + -6 14x = 26 + -6 Combine like terms: 26 + -6 = 20 14x = 20 Divide each side by '14'. x = 1.428571429 Simplifying x = 1.428571429
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