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Simplifying -4x + 6 = x + 31 Reorder the terms: 6 + -4x = x + 31 Reorder the terms: 6 + -4x = 31 + x Solving 6 + -4x = 31 + 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 + -4x + -1x = 31 + x + -1x Combine like terms: -4x + -1x = -5x 6 + -5x = 31 + x + -1x Combine like terms: x + -1x = 0 6 + -5x = 31 + 0 6 + -5x = 31 Add '-6' to each side of the equation. 6 + -6 + -5x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 31 + -6 -5x = 31 + -6 Combine like terms: 31 + -6 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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