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Simplifying -4x + 6 = 31 + -1x + -8 Reorder the terms: 6 + -4x = 31 + -1x + -8 Reorder the terms: 6 + -4x = 31 + -8 + -1x Combine like terms: 31 + -8 = 23 6 + -4x = 23 + -1x Solving 6 + -4x = 23 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + -4x + x = 23 + -1x + x Combine like terms: -4x + x = -3x 6 + -3x = 23 + -1x + x Combine like terms: -1x + x = 0 6 + -3x = 23 + 0 6 + -3x = 23 Add '-6' to each side of the equation. 6 + -6 + -3x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 23 + -6 -3x = 23 + -6 Combine like terms: 23 + -6 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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