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Simplifying 8(3 + -1x) = -2(x + 5) (3 * 8 + -1x * 8) = -2(x + 5) (24 + -8x) = -2(x + 5) Reorder the terms: 24 + -8x = -2(5 + x) 24 + -8x = (5 * -2 + x * -2) 24 + -8x = (-10 + -2x) Solving 24 + -8x = -10 + -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 = -10 + -2x + 2x Combine like terms: -8x + 2x = -6x 24 + -6x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -6x = -10 + 0 24 + -6x = -10 Add '-24' to each side of the equation. 24 + -24 + -6x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -10 + -24 -6x = -10 + -24 Combine like terms: -10 + -24 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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