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Simplifying 2(3x + 4) = 1 + -1x Reorder the terms: 2(4 + 3x) = 1 + -1x (4 * 2 + 3x * 2) = 1 + -1x (8 + 6x) = 1 + -1x Solving 8 + 6x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 6x + x = 1 + -1x + x Combine like terms: 6x + x = 7x 8 + 7x = 1 + -1x + x Combine like terms: -1x + x = 0 8 + 7x = 1 + 0 8 + 7x = 1 Add '-8' to each side of the equation. 8 + -8 + 7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 1 + -8 7x = 1 + -8 Combine like terms: 1 + -8 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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