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Simplifying -2(12x + -4) = 14 + -10x Reorder the terms: -2(-4 + 12x) = 14 + -10x (-4 * -2 + 12x * -2) = 14 + -10x (8 + -24x) = 14 + -10x Solving 8 + -24x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + -24x + 10x = 14 + -10x + 10x Combine like terms: -24x + 10x = -14x 8 + -14x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + -14x = 14 + 0 8 + -14x = 14 Add '-8' to each side of the equation. 8 + -8 + -14x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 14 + -8 -14x = 14 + -8 Combine like terms: 14 + -8 = 6 -14x = 6 Divide each side by '-14'. x = -0.4285714286 Simplifying x = -0.4285714286
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