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Simplifying 4x + -9 = 3x + 5 + 17 Reorder the terms: -9 + 4x = 3x + 5 + 17 Reorder the terms: -9 + 4x = 5 + 17 + 3x Combine like terms: 5 + 17 = 22 -9 + 4x = 22 + 3x Solving -9 + 4x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 4x + -3x = 22 + 3x + -3x Combine like terms: 4x + -3x = 1x -9 + 1x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 1x = 22 + 0 -9 + 1x = 22 Add '9' to each side of the equation. -9 + 9 + 1x = 22 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 22 + 9 1x = 22 + 9 Combine like terms: 22 + 9 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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