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Simplifying 10x + 3 = -5x + 33 Reorder the terms: 3 + 10x = -5x + 33 Reorder the terms: 3 + 10x = 33 + -5x Solving 3 + 10x = 33 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 10x + 5x = 33 + -5x + 5x Combine like terms: 10x + 5x = 15x 3 + 15x = 33 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 15x = 33 + 0 3 + 15x = 33 Add '-3' to each side of the equation. 3 + -3 + 15x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 33 + -3 15x = 33 + -3 Combine like terms: 33 + -3 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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