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Simplifying 15x + 83 = 10x + 33 Reorder the terms: 83 + 15x = 10x + 33 Reorder the terms: 83 + 15x = 33 + 10x Solving 83 + 15x = 33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 83 + 15x + -10x = 33 + 10x + -10x Combine like terms: 15x + -10x = 5x 83 + 5x = 33 + 10x + -10x Combine like terms: 10x + -10x = 0 83 + 5x = 33 + 0 83 + 5x = 33 Add '-83' to each side of the equation. 83 + -83 + 5x = 33 + -83 Combine like terms: 83 + -83 = 0 0 + 5x = 33 + -83 5x = 33 + -83 Combine like terms: 33 + -83 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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