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Simplifying 5 + 6(x + -8) = 4 + -6(x + -8) Reorder the terms: 5 + 6(-8 + x) = 4 + -6(x + -8) 5 + (-8 * 6 + x * 6) = 4 + -6(x + -8) 5 + (-48 + 6x) = 4 + -6(x + -8) Combine like terms: 5 + -48 = -43 -43 + 6x = 4 + -6(x + -8) Reorder the terms: -43 + 6x = 4 + -6(-8 + x) -43 + 6x = 4 + (-8 * -6 + x * -6) -43 + 6x = 4 + (48 + -6x) Combine like terms: 4 + 48 = 52 -43 + 6x = 52 + -6x Solving -43 + 6x = 52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -43 + 6x + 6x = 52 + -6x + 6x Combine like terms: 6x + 6x = 12x -43 + 12x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 -43 + 12x = 52 + 0 -43 + 12x = 52 Add '43' to each side of the equation. -43 + 43 + 12x = 52 + 43 Combine like terms: -43 + 43 = 0 0 + 12x = 52 + 43 12x = 52 + 43 Combine like terms: 52 + 43 = 95 12x = 95 Divide each side by '12'. x = 7.916666667 Simplifying x = 7.916666667
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