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Simplifying -4(2x + 6) = 14 + -2(x + -5) Reorder the terms: -4(6 + 2x) = 14 + -2(x + -5) (6 * -4 + 2x * -4) = 14 + -2(x + -5) (-24 + -8x) = 14 + -2(x + -5) Reorder the terms: -24 + -8x = 14 + -2(-5 + x) -24 + -8x = 14 + (-5 * -2 + x * -2) -24 + -8x = 14 + (10 + -2x) Combine like terms: 14 + 10 = 24 -24 + -8x = 24 + -2x Solving -24 + -8x = 24 + -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 + -8x + 2x = 24 + -2x + 2x Combine like terms: -8x + 2x = -6x -24 + -6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -6x = 24 + 0 -24 + -6x = 24 Add '24' to each side of the equation. -24 + 24 + -6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 24 + 24 -6x = 24 + 24 Combine like terms: 24 + 24 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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