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Simplifying 2(4x + 1) = 6(2 + -1x) Reorder the terms: 2(1 + 4x) = 6(2 + -1x) (1 * 2 + 4x * 2) = 6(2 + -1x) (2 + 8x) = 6(2 + -1x) 2 + 8x = (2 * 6 + -1x * 6) 2 + 8x = (12 + -6x) Solving 2 + 8x = 12 + -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. 2 + 8x + 6x = 12 + -6x + 6x Combine like terms: 8x + 6x = 14x 2 + 14x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 14x = 12 + 0 2 + 14x = 12 Add '-2' to each side of the equation. 2 + -2 + 14x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 12 + -2 14x = 12 + -2 Combine like terms: 12 + -2 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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