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