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Simplifying 2(x + -7) = -12(x + -2) Reorder the terms: 2(-7 + x) = -12(x + -2) (-7 * 2 + x * 2) = -12(x + -2) (-14 + 2x) = -12(x + -2) Reorder the terms: -14 + 2x = -12(-2 + x) -14 + 2x = (-2 * -12 + x * -12) -14 + 2x = (24 + -12x) Solving -14 + 2x = 24 + -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. -14 + 2x + 12x = 24 + -12x + 12x Combine like terms: 2x + 12x = 14x -14 + 14x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 14x = 24 + 0 -14 + 14x = 24 Add '14' to each side of the equation. -14 + 14 + 14x = 24 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 24 + 14 14x = 24 + 14 Combine like terms: 24 + 14 = 38 14x = 38 Divide each side by '14'. x = 2.714285714 Simplifying x = 2.714285714
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