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Simplifying -101 = 2x + -5(4x + -5) Reorder the terms: -101 = 2x + -5(-5 + 4x) -101 = 2x + (-5 * -5 + 4x * -5) -101 = 2x + (25 + -20x) Reorder the terms: -101 = 25 + 2x + -20x Combine like terms: 2x + -20x = -18x -101 = 25 + -18x Solving -101 = 25 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -101 + 18x = 25 + -18x + 18x Combine like terms: -18x + 18x = 0 -101 + 18x = 25 + 0 -101 + 18x = 25 Add '101' to each side of the equation. -101 + 101 + 18x = 25 + 101 Combine like terms: -101 + 101 = 0 0 + 18x = 25 + 101 18x = 25 + 101 Combine like terms: 25 + 101 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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