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Simplifying -1x + 7(x + -5) = -32 + 7x Reorder the terms: -1x + 7(-5 + x) = -32 + 7x -1x + (-5 * 7 + x * 7) = -32 + 7x -1x + (-35 + 7x) = -32 + 7x Reorder the terms: -35 + -1x + 7x = -32 + 7x Combine like terms: -1x + 7x = 6x -35 + 6x = -32 + 7x Solving -35 + 6x = -32 + 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. -35 + 6x + -7x = -32 + 7x + -7x Combine like terms: 6x + -7x = -1x -35 + -1x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -1x = -32 + 0 -35 + -1x = -32 Add '35' to each side of the equation. -35 + 35 + -1x = -32 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -32 + 35 -1x = -32 + 35 Combine like terms: -32 + 35 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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