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Simplifying 2 + 3(4x + 2) = 3x + -4 Reorder the terms: 2 + 3(2 + 4x) = 3x + -4 2 + (2 * 3 + 4x * 3) = 3x + -4 2 + (6 + 12x) = 3x + -4 Combine like terms: 2 + 6 = 8 8 + 12x = 3x + -4 Reorder the terms: 8 + 12x = -4 + 3x Solving 8 + 12x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 12x + -3x = -4 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = -4 + 0 8 + 9x = -4 Add '-8' to each side of the equation. 8 + -8 + 9x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -4 + -8 9x = -4 + -8 Combine like terms: -4 + -8 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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