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Simplifying 1x + -4 = 7x + 31 Reorder the terms: -4 + 1x = 7x + 31 Reorder the terms: -4 + 1x = 31 + 7x Solving -4 + 1x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 1x + -7x = 31 + 7x + -7x Combine like terms: 1x + -7x = -6x -4 + -6x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -6x = 31 + 0 -4 + -6x = 31 Add '4' to each side of the equation. -4 + 4 + -6x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 31 + 4 -6x = 31 + 4 Combine like terms: 31 + 4 = 35 -6x = 35 Divide each side by '-6'. x = -5.833333333 Simplifying x = -5.833333333
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