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Simplifying -1x + -7(x + 5) = 4 + -4x Reorder the terms: -1x + -7(5 + x) = 4 + -4x -1x + (5 * -7 + x * -7) = 4 + -4x -1x + (-35 + -7x) = 4 + -4x Reorder the terms: -35 + -1x + -7x = 4 + -4x Combine like terms: -1x + -7x = -8x -35 + -8x = 4 + -4x Solving -35 + -8x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -35 + -8x + 4x = 4 + -4x + 4x Combine like terms: -8x + 4x = -4x -35 + -4x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + -4x = 4 + 0 -35 + -4x = 4 Add '35' to each side of the equation. -35 + 35 + -4x = 4 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = 4 + 35 -4x = 4 + 35 Combine like terms: 4 + 35 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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