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Simplifying 4x + 31 = 8x + 7 Reorder the terms: 31 + 4x = 8x + 7 Reorder the terms: 31 + 4x = 7 + 8x Solving 31 + 4x = 7 + 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. 31 + 4x + -8x = 7 + 8x + -8x Combine like terms: 4x + -8x = -4x 31 + -4x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -4x = 7 + 0 31 + -4x = 7 Add '-31' to each side of the equation. 31 + -31 + -4x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 7 + -31 -4x = 7 + -31 Combine like terms: 7 + -31 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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