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Simplifying 15x + 27 = 19 + -31x + 8 Reorder the terms: 27 + 15x = 19 + -31x + 8 Reorder the terms: 27 + 15x = 19 + 8 + -31x Combine like terms: 19 + 8 = 27 27 + 15x = 27 + -31x Add '-27' to each side of the equation. 27 + -27 + 15x = 27 + -27 + -31x Combine like terms: 27 + -27 = 0 0 + 15x = 27 + -27 + -31x 15x = 27 + -27 + -31x Combine like terms: 27 + -27 = 0 15x = 0 + -31x 15x = -31x Solving 15x = -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 15x + 31x = -31x + 31x Combine like terms: 15x + 31x = 46x 46x = -31x + 31x Combine like terms: -31x + 31x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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