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Simplifying 10x + -33 = 7x + 24 Reorder the terms: -33 + 10x = 7x + 24 Reorder the terms: -33 + 10x = 24 + 7x Solving -33 + 10x = 24 + 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. -33 + 10x + -7x = 24 + 7x + -7x Combine like terms: 10x + -7x = 3x -33 + 3x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 3x = 24 + 0 -33 + 3x = 24 Add '33' to each side of the equation. -33 + 33 + 3x = 24 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = 24 + 33 3x = 24 + 33 Combine like terms: 24 + 33 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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