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Simplifying 4x + -9 = -6x + 31 Reorder the terms: -9 + 4x = -6x + 31 Reorder the terms: -9 + 4x = 31 + -6x Solving -9 + 4x = 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 + 4x + 6x = 31 + -6x + 6x Combine like terms: 4x + 6x = 10x -9 + 10x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 10x = 31 + 0 -9 + 10x = 31 Add '9' to each side of the equation. -9 + 9 + 10x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 31 + 9 10x = 31 + 9 Combine like terms: 31 + 9 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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