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Simplifying -6(x + 4) = 2(x + 10) Reorder the terms: -6(4 + x) = 2(x + 10) (4 * -6 + x * -6) = 2(x + 10) (-24 + -6x) = 2(x + 10) Reorder the terms: -24 + -6x = 2(10 + x) -24 + -6x = (10 * 2 + x * 2) -24 + -6x = (20 + 2x) Solving -24 + -6x = 20 + 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 + -6x + -2x = 20 + 2x + -2x Combine like terms: -6x + -2x = -8x -24 + -8x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -8x = 20 + 0 -24 + -8x = 20 Add '24' to each side of the equation. -24 + 24 + -8x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 20 + 24 -8x = 20 + 24 Combine like terms: 20 + 24 = 44 -8x = 44 Divide each side by '-8'. x = -5.5 Simplifying x = -5.5
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