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Simplifying 10x + 9 = 6x + 33 Reorder the terms: 9 + 10x = 6x + 33 Reorder the terms: 9 + 10x = 33 + 6x Solving 9 + 10x = 33 + 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 + 10x + -6x = 33 + 6x + -6x Combine like terms: 10x + -6x = 4x 9 + 4x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 4x = 33 + 0 9 + 4x = 33 Add '-9' to each side of the equation. 9 + -9 + 4x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 33 + -9 4x = 33 + -9 Combine like terms: 33 + -9 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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