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Simplifying 8(x + -1) + -2(3x + -1) = x + -1 Reorder the terms: 8(-1 + x) + -2(3x + -1) = x + -1 (-1 * 8 + x * 8) + -2(3x + -1) = x + -1 (-8 + 8x) + -2(3x + -1) = x + -1 Reorder the terms: -8 + 8x + -2(-1 + 3x) = x + -1 -8 + 8x + (-1 * -2 + 3x * -2) = x + -1 -8 + 8x + (2 + -6x) = x + -1 Reorder the terms: -8 + 2 + 8x + -6x = x + -1 Combine like terms: -8 + 2 = -6 -6 + 8x + -6x = x + -1 Combine like terms: 8x + -6x = 2x -6 + 2x = x + -1 Reorder the terms: -6 + 2x = -1 + x Solving -6 + 2x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = -1 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = -1 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = -1 + 0 -6 + 1x = -1 Add '6' to each side of the equation. -6 + 6 + 1x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -1 + 6 1x = -1 + 6 Combine like terms: -1 + 6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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