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Simplifying 5x + 9 = 6x + -31 Reorder the terms: 9 + 5x = 6x + -31 Reorder the terms: 9 + 5x = -31 + 6x Solving 9 + 5x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 5x + -6x = -31 + 6x + -6x Combine like terms: 5x + -6x = -1x 9 + -1x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -1x = -31 + 0 9 + -1x = -31 Add '-9' to each side of the equation. 9 + -9 + -1x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -31 + -9 -1x = -31 + -9 Combine like terms: -31 + -9 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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