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Simplifying 2(3x + 4) = 6 + -7x Reorder the terms: 2(4 + 3x) = 6 + -7x (4 * 2 + 3x * 2) = 6 + -7x (8 + 6x) = 6 + -7x Solving 8 + 6x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + 6x + 7x = 6 + -7x + 7x Combine like terms: 6x + 7x = 13x 8 + 13x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 13x = 6 + 0 8 + 13x = 6 Add '-8' to each side of the equation. 8 + -8 + 13x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 6 + -8 13x = 6 + -8 Combine like terms: 6 + -8 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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