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Simplifying 4x + 9 = 8x + -31 Reorder the terms: 9 + 4x = 8x + -31 Reorder the terms: 9 + 4x = -31 + 8x Solving 9 + 4x = -31 + 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. 9 + 4x + -8x = -31 + 8x + -8x Combine like terms: 4x + -8x = -4x 9 + -4x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -4x = -31 + 0 9 + -4x = -31 Add '-9' to each side of the equation. 9 + -9 + -4x = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -31 + -9 -4x = -31 + -9 Combine like terms: -31 + -9 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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