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Simplifying 12 + -2(x + 4) = 12(x + 2) + -4 Reorder the terms: 12 + -2(4 + x) = 12(x + 2) + -4 12 + (4 * -2 + x * -2) = 12(x + 2) + -4 12 + (-8 + -2x) = 12(x + 2) + -4 Combine like terms: 12 + -8 = 4 4 + -2x = 12(x + 2) + -4 Reorder the terms: 4 + -2x = 12(2 + x) + -4 4 + -2x = (2 * 12 + x * 12) + -4 4 + -2x = (24 + 12x) + -4 Reorder the terms: 4 + -2x = 24 + -4 + 12x Combine like terms: 24 + -4 = 20 4 + -2x = 20 + 12x Solving 4 + -2x = 20 + 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. 4 + -2x + -12x = 20 + 12x + -12x Combine like terms: -2x + -12x = -14x 4 + -14x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -14x = 20 + 0 4 + -14x = 20 Add '-4' to each side of the equation. 4 + -4 + -14x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 20 + -4 -14x = 20 + -4 Combine like terms: 20 + -4 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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