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Simplifying 7(x + -5) = 1 + 6x Reorder the terms: 7(-5 + x) = 1 + 6x (-5 * 7 + x * 7) = 1 + 6x (-35 + 7x) = 1 + 6x Solving -35 + 7x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -35 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 1x = 1 + 0 -35 + 1x = 1 Add '35' to each side of the equation. -35 + 35 + 1x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 1 + 35 1x = 1 + 35 Combine like terms: 1 + 35 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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