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Simplifying -282 = -7(1 + -7x) + 6x -282 = (1 * -7 + -7x * -7) + 6x -282 = (-7 + 49x) + 6x Combine like terms: 49x + 6x = 55x -282 = -7 + 55x Solving -282 = -7 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -282 + -55x = -7 + 55x + -55x Combine like terms: 55x + -55x = 0 -282 + -55x = -7 + 0 -282 + -55x = -7 Add '282' to each side of the equation. -282 + 282 + -55x = -7 + 282 Combine like terms: -282 + 282 = 0 0 + -55x = -7 + 282 -55x = -7 + 282 Combine like terms: -7 + 282 = 275 -55x = 275 Divide each side by '-55'. x = -5 Simplifying x = -5
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