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Simplifying 8(1 + -6x) = 8(x + 1) (1 * 8 + -6x * 8) = 8(x + 1) (8 + -48x) = 8(x + 1) Reorder the terms: 8 + -48x = 8(1 + x) 8 + -48x = (1 * 8 + x * 8) 8 + -48x = (8 + 8x) Add '-8' to each side of the equation. 8 + -8 + -48x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + -48x = 8 + -8 + 8x -48x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 -48x = 0 + 8x -48x = 8x Solving -48x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -48x + -8x = 8x + -8x Combine like terms: -48x + -8x = -56x -56x = 8x + -8x Combine like terms: 8x + -8x = 0 -56x = 0 Divide each side by '-56'. x = 0 Simplifying x = 0
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