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Simplifying 2x + -5(4 + -1x) = x(x + 7) 2x + (4 * -5 + -1x * -5) = x(x + 7) 2x + (-20 + 5x) = x(x + 7) Reorder the terms: -20 + 2x + 5x = x(x + 7) Combine like terms: 2x + 5x = 7x -20 + 7x = x(x + 7) Reorder the terms: -20 + 7x = x(7 + x) -20 + 7x = (7 * x + x * x) -20 + 7x = (7x + x2) Add '-7x' to each side of the equation. -20 + 7x + -7x = 7x + -7x + x2 Combine like terms: 7x + -7x = 0 -20 + 0 = 7x + -7x + x2 -20 = 7x + -7x + x2 Combine like terms: 7x + -7x = 0 -20 = 0 + x2 -20 = x2 Solving -20 = x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. -20 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + -1x2 = 0 Add '20' to each side of the equation. -20 + 20 + -1x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x2 = 0 + 20 -1x2 = 0 + 20 Combine like terms: 0 + 20 = 20 -1x2 = 20 Divide each side by '-1'. x2 = -20 Simplifying x2 = -20 Reorder the terms: 20 + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + x2 = 0 The solution to this equation could not be determined.
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