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Simplifying 3x + -7x + 40 = 5x + 31 Reorder the terms: 40 + 3x + -7x = 5x + 31 Combine like terms: 3x + -7x = -4x 40 + -4x = 5x + 31 Reorder the terms: 40 + -4x = 31 + 5x Solving 40 + -4x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + -4x + -5x = 31 + 5x + -5x Combine like terms: -4x + -5x = -9x 40 + -9x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -9x = 31 + 0 40 + -9x = 31 Add '-40' to each side of the equation. 40 + -40 + -9x = 31 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = 31 + -40 -9x = 31 + -40 Combine like terms: 31 + -40 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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