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Simplifying 7(x + -5) = 5 + 8x Reorder the terms: 7(-5 + x) = 5 + 8x (-5 * 7 + x * 7) = 5 + 8x (-35 + 7x) = 5 + 8x Solving -35 + 7x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 7x + -8x = 5 + 8x + -8x Combine like terms: 7x + -8x = -1x -35 + -1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -1x = 5 + 0 -35 + -1x = 5 Add '35' to each side of the equation. -35 + 35 + -1x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 5 + 35 -1x = 5 + 35 Combine like terms: 5 + 35 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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