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Simplifying 31x + 14 = 4(77x + 4) + 3x + -2 Reorder the terms: 14 + 31x = 4(77x + 4) + 3x + -2 Reorder the terms: 14 + 31x = 4(4 + 77x) + 3x + -2 14 + 31x = (4 * 4 + 77x * 4) + 3x + -2 14 + 31x = (16 + 308x) + 3x + -2 Reorder the terms: 14 + 31x = 16 + -2 + 308x + 3x Combine like terms: 16 + -2 = 14 14 + 31x = 14 + 308x + 3x Combine like terms: 308x + 3x = 311x 14 + 31x = 14 + 311x Add '-14' to each side of the equation. 14 + -14 + 31x = 14 + -14 + 311x Combine like terms: 14 + -14 = 0 0 + 31x = 14 + -14 + 311x 31x = 14 + -14 + 311x Combine like terms: 14 + -14 = 0 31x = 0 + 311x 31x = 311x Solving 31x = 311x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-311x' to each side of the equation. 31x + -311x = 311x + -311x Combine like terms: 31x + -311x = -280x -280x = 311x + -311x Combine like terms: 311x + -311x = 0 -280x = 0 Divide each side by '-280'. x = 0.0 Simplifying x = 0.0
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