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Simplifying -100 = -4x + 4(-1x + -5) Reorder the terms: -100 = -4x + 4(-5 + -1x) -100 = -4x + (-5 * 4 + -1x * 4) -100 = -4x + (-20 + -4x) Reorder the terms: -100 = -20 + -4x + -4x Combine like terms: -4x + -4x = -8x -100 = -20 + -8x Solving -100 = -20 + -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. -100 + 8x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 -100 + 8x = -20 + 0 -100 + 8x = -20 Add '100' to each side of the equation. -100 + 100 + 8x = -20 + 100 Combine like terms: -100 + 100 = 0 0 + 8x = -20 + 100 8x = -20 + 100 Combine like terms: -20 + 100 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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