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Simplifying 6x + 7 = 4x + 31 Reorder the terms: 7 + 6x = 4x + 31 Reorder the terms: 7 + 6x = 31 + 4x Solving 7 + 6x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 6x + -4x = 31 + 4x + -4x Combine like terms: 6x + -4x = 2x 7 + 2x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 2x = 31 + 0 7 + 2x = 31 Add '-7' to each side of the equation. 7 + -7 + 2x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 31 + -7 2x = 31 + -7 Combine like terms: 31 + -7 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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