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Simplifying 4(3x + 4) + -2 = (x + -4) + 2 Reorder the terms: 4(4 + 3x) + -2 = (x + -4) + 2 (4 * 4 + 3x * 4) + -2 = (x + -4) + 2 (16 + 12x) + -2 = (x + -4) + 2 Reorder the terms: 16 + -2 + 12x = (x + -4) + 2 Combine like terms: 16 + -2 = 14 14 + 12x = (x + -4) + 2 Reorder the terms: 14 + 12x = (-4 + x) + 2 Remove parenthesis around (-4 + x) 14 + 12x = -4 + x + 2 Reorder the terms: 14 + 12x = -4 + 2 + x Combine like terms: -4 + 2 = -2 14 + 12x = -2 + x Solving 14 + 12x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 12x + -1x = -2 + x + -1x Combine like terms: 12x + -1x = 11x 14 + 11x = -2 + x + -1x Combine like terms: x + -1x = 0 14 + 11x = -2 + 0 14 + 11x = -2 Add '-14' to each side of the equation. 14 + -14 + 11x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = -2 + -14 11x = -2 + -14 Combine like terms: -2 + -14 = -16 11x = -16 Divide each side by '11'. x = -1.454545455 Simplifying x = -1.454545455
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