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Simplifying 4x + -9 = 7x + -31 Reorder the terms: -9 + 4x = 7x + -31 Reorder the terms: -9 + 4x = -31 + 7x Solving -9 + 4x = -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 + 4x + -7x = -31 + 7x + -7x Combine like terms: 4x + -7x = -3x -9 + -3x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -3x = -31 + 0 -9 + -3x = -31 Add '9' to each side of the equation. -9 + 9 + -3x = -31 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -31 + 9 -3x = -31 + 9 Combine like terms: -31 + 9 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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