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Simplifying 6(x + -8) = 1 + -1x Reorder the terms: 6(-8 + x) = 1 + -1x (-8 * 6 + x * 6) = 1 + -1x (-48 + 6x) = 1 + -1x Solving -48 + 6x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -48 + 6x + x = 1 + -1x + x Combine like terms: 6x + x = 7x -48 + 7x = 1 + -1x + x Combine like terms: -1x + x = 0 -48 + 7x = 1 + 0 -48 + 7x = 1 Add '48' to each side of the equation. -48 + 48 + 7x = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = 1 + 48 7x = 1 + 48 Combine like terms: 1 + 48 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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