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Simplifying -6(x + -8) = 6 + -5x Reorder the terms: -6(-8 + x) = 6 + -5x (-8 * -6 + x * -6) = 6 + -5x (48 + -6x) = 6 + -5x Solving 48 + -6x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 48 + -6x + 5x = 6 + -5x + 5x Combine like terms: -6x + 5x = -1x 48 + -1x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 48 + -1x = 6 + 0 48 + -1x = 6 Add '-48' to each side of the equation. 48 + -48 + -1x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 6 + -48 -1x = 6 + -48 Combine like terms: 6 + -48 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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