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Simplifying 5x + -9 = 33 + -2x Reorder the terms: -9 + 5x = 33 + -2x Solving -9 + 5x = 33 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 5x + 2x = 33 + -2x + 2x Combine like terms: 5x + 2x = 7x -9 + 7x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 7x = 33 + 0 -9 + 7x = 33 Add '9' to each side of the equation. -9 + 9 + 7x = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 33 + 9 7x = 33 + 9 Combine like terms: 33 + 9 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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