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Simplifying -7 + (x + -5) = -8x + 4(x + -8) Reorder the terms: -7 + (-5 + x) = -8x + 4(x + -8) Remove parenthesis around (-5 + x) -7 + -5 + x = -8x + 4(x + -8) Combine like terms: -7 + -5 = -12 -12 + x = -8x + 4(x + -8) Reorder the terms: -12 + x = -8x + 4(-8 + x) -12 + x = -8x + (-8 * 4 + x * 4) -12 + x = -8x + (-32 + 4x) Reorder the terms: -12 + x = -32 + -8x + 4x Combine like terms: -8x + 4x = -4x -12 + x = -32 + -4x Solving -12 + x = -32 + -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. -12 + x + 4x = -32 + -4x + 4x Combine like terms: x + 4x = 5x -12 + 5x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 5x = -32 + 0 -12 + 5x = -32 Add '12' to each side of the equation. -12 + 12 + 5x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -32 + 12 5x = -32 + 12 Combine like terms: -32 + 12 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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