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Simplifying x + 3(4x + 2) = 7x + -1 Reorder the terms: x + 3(2 + 4x) = 7x + -1 x + (2 * 3 + 4x * 3) = 7x + -1 x + (6 + 12x) = 7x + -1 Reorder the terms: 6 + x + 12x = 7x + -1 Combine like terms: x + 12x = 13x 6 + 13x = 7x + -1 Reorder the terms: 6 + 13x = -1 + 7x Solving 6 + 13x = -1 + 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. 6 + 13x + -7x = -1 + 7x + -7x Combine like terms: 13x + -7x = 6x 6 + 6x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 6x = -1 + 0 6 + 6x = -1 Add '-6' to each side of the equation. 6 + -6 + 6x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -1 + -6 6x = -1 + -6 Combine like terms: -1 + -6 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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