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Simplifying x + -506 = 1154 + -1x Reorder the terms: -506 + x = 1154 + -1x Solving -506 + x = 1154 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -506 + x + x = 1154 + -1x + x Combine like terms: x + x = 2x -506 + 2x = 1154 + -1x + x Combine like terms: -1x + x = 0 -506 + 2x = 1154 + 0 -506 + 2x = 1154 Add '506' to each side of the equation. -506 + 506 + 2x = 1154 + 506 Combine like terms: -506 + 506 = 0 0 + 2x = 1154 + 506 2x = 1154 + 506 Combine like terms: 1154 + 506 = 1660 2x = 1660 Divide each side by '2'. x = 830 Simplifying x = 830
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