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