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Simplifying -4x + 4(-5x + -5) = 100 Reorder the terms: -4x + 4(-5 + -5x) = 100 -4x + (-5 * 4 + -5x * 4) = 100 -4x + (-20 + -20x) = 100 Reorder the terms: -20 + -4x + -20x = 100 Combine like terms: -4x + -20x = -24x -20 + -24x = 100 Solving -20 + -24x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -24x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + -24x = 100 + 20 -24x = 100 + 20 Combine like terms: 100 + 20 = 120 -24x = 120 Divide each side by '-24'. x = -5 Simplifying x = -5
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