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Simplifying 14 + -2(x + 4) = 12(x + 3) + -14 Reorder the terms: 14 + -2(4 + x) = 12(x + 3) + -14 14 + (4 * -2 + x * -2) = 12(x + 3) + -14 14 + (-8 + -2x) = 12(x + 3) + -14 Combine like terms: 14 + -8 = 6 6 + -2x = 12(x + 3) + -14 Reorder the terms: 6 + -2x = 12(3 + x) + -14 6 + -2x = (3 * 12 + x * 12) + -14 6 + -2x = (36 + 12x) + -14 Reorder the terms: 6 + -2x = 36 + -14 + 12x Combine like terms: 36 + -14 = 22 6 + -2x = 22 + 12x Solving 6 + -2x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + -2x + -12x = 22 + 12x + -12x Combine like terms: -2x + -12x = -14x 6 + -14x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -14x = 22 + 0 6 + -14x = 22 Add '-6' to each side of the equation. 6 + -6 + -14x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = 22 + -6 -14x = 22 + -6 Combine like terms: 22 + -6 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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