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Simplifying -6(x + -4) = 2 + 3x + 14 Reorder the terms: -6(-4 + x) = 2 + 3x + 14 (-4 * -6 + x * -6) = 2 + 3x + 14 (24 + -6x) = 2 + 3x + 14 Reorder the terms: 24 + -6x = 2 + 14 + 3x Combine like terms: 2 + 14 = 16 24 + -6x = 16 + 3x Solving 24 + -6x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -6x + -3x = 16 + 3x + -3x Combine like terms: -6x + -3x = -9x 24 + -9x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -9x = 16 + 0 24 + -9x = 16 Add '-24' to each side of the equation. 24 + -24 + -9x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 16 + -24 -9x = 16 + -24 Combine like terms: 16 + -24 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889
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