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Simplifying 3(x + -1) + -1(6 + -1x) = 8x + -6 Reorder the terms: 3(-1 + x) + -1(6 + -1x) = 8x + -6 (-1 * 3 + x * 3) + -1(6 + -1x) = 8x + -6 (-3 + 3x) + -1(6 + -1x) = 8x + -6 -3 + 3x + (6 * -1 + -1x * -1) = 8x + -6 -3 + 3x + (-6 + 1x) = 8x + -6 Reorder the terms: -3 + -6 + 3x + 1x = 8x + -6 Combine like terms: -3 + -6 = -9 -9 + 3x + 1x = 8x + -6 Combine like terms: 3x + 1x = 4x -9 + 4x = 8x + -6 Reorder the terms: -9 + 4x = -6 + 8x Solving -9 + 4x = -6 + 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. -9 + 4x + -8x = -6 + 8x + -8x Combine like terms: 4x + -8x = -4x -9 + -4x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -4x = -6 + 0 -9 + -4x = -6 Add '9' to each side of the equation. -9 + 9 + -4x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -6 + 9 -4x = -6 + 9 Combine like terms: -6 + 9 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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