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Simplifying 2x + -2(7x + 12) = 2(x + -3) Reorder the terms: 2x + -2(12 + 7x) = 2(x + -3) 2x + (12 * -2 + 7x * -2) = 2(x + -3) 2x + (-24 + -14x) = 2(x + -3) Reorder the terms: -24 + 2x + -14x = 2(x + -3) Combine like terms: 2x + -14x = -12x -24 + -12x = 2(x + -3) Reorder the terms: -24 + -12x = 2(-3 + x) -24 + -12x = (-3 * 2 + x * 2) -24 + -12x = (-6 + 2x) Solving -24 + -12x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + -12x + -2x = -6 + 2x + -2x Combine like terms: -12x + -2x = -14x -24 + -14x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -14x = -6 + 0 -24 + -14x = -6 Add '24' to each side of the equation. -24 + 24 + -14x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = -6 + 24 -14x = -6 + 24 Combine like terms: -6 + 24 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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