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Simplifying x + -282 = 7x + -6 Reorder the terms: -282 + x = 7x + -6 Reorder the terms: -282 + x = -6 + 7x Solving -282 + x = -6 + 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. -282 + x + -7x = -6 + 7x + -7x Combine like terms: x + -7x = -6x -282 + -6x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -282 + -6x = -6 + 0 -282 + -6x = -6 Add '282' to each side of the equation. -282 + 282 + -6x = -6 + 282 Combine like terms: -282 + 282 = 0 0 + -6x = -6 + 282 -6x = -6 + 282 Combine like terms: -6 + 282 = 276 -6x = 276 Divide each side by '-6'. x = -46 Simplifying x = -46
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