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Simplifying 6x + -8 + -1(9x + -1) = x + -6 Reorder the terms: 6x + -8 + -1(-1 + 9x) = x + -6 6x + -8 + (-1 * -1 + 9x * -1) = x + -6 6x + -8 + (1 + -9x) = x + -6 Reorder the terms: -8 + 1 + 6x + -9x = x + -6 Combine like terms: -8 + 1 = -7 -7 + 6x + -9x = x + -6 Combine like terms: 6x + -9x = -3x -7 + -3x = x + -6 Reorder the terms: -7 + -3x = -6 + x Solving -7 + -3x = -6 + 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. -7 + -3x + -1x = -6 + x + -1x Combine like terms: -3x + -1x = -4x -7 + -4x = -6 + x + -1x Combine like terms: x + -1x = 0 -7 + -4x = -6 + 0 -7 + -4x = -6 Add '7' to each side of the equation. -7 + 7 + -4x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -6 + 7 -4x = -6 + 7 Combine like terms: -6 + 7 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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