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Simplifying -4(x + 8) + -1(x + -7) = 0 Reorder the terms: -4(8 + x) + -1(x + -7) = 0 (8 * -4 + x * -4) + -1(x + -7) = 0 (-32 + -4x) + -1(x + -7) = 0 Reorder the terms: -32 + -4x + -1(-7 + x) = 0 -32 + -4x + (-7 * -1 + x * -1) = 0 -32 + -4x + (7 + -1x) = 0 Reorder the terms: -32 + 7 + -4x + -1x = 0 Combine like terms: -32 + 7 = -25 -25 + -4x + -1x = 0 Combine like terms: -4x + -1x = -5x -25 + -5x = 0 Solving -25 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -5x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = 0 + 25 -5x = 0 + 25 Combine like terms: 0 + 25 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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