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Simplifying 10x + -83 = 61 + 2x Reorder the terms: -83 + 10x = 61 + 2x Solving -83 + 10x = 61 + 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. -83 + 10x + -2x = 61 + 2x + -2x Combine like terms: 10x + -2x = 8x -83 + 8x = 61 + 2x + -2x Combine like terms: 2x + -2x = 0 -83 + 8x = 61 + 0 -83 + 8x = 61 Add '83' to each side of the equation. -83 + 83 + 8x = 61 + 83 Combine like terms: -83 + 83 = 0 0 + 8x = 61 + 83 8x = 61 + 83 Combine like terms: 61 + 83 = 144 8x = 144 Divide each side by '8'. x = 18 Simplifying x = 18
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