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Simplifying -6(x + -2) = 14(x + -2) Reorder the terms: -6(-2 + x) = 14(x + -2) (-2 * -6 + x * -6) = 14(x + -2) (12 + -6x) = 14(x + -2) Reorder the terms: 12 + -6x = 14(-2 + x) 12 + -6x = (-2 * 14 + x * 14) 12 + -6x = (-28 + 14x) Solving 12 + -6x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + -6x + -14x = -28 + 14x + -14x Combine like terms: -6x + -14x = -20x 12 + -20x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -20x = -28 + 0 12 + -20x = -28 Add '-12' to each side of the equation. 12 + -12 + -20x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -20x = -28 + -12 -20x = -28 + -12 Combine like terms: -28 + -12 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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