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Simplifying 5(2x + -2) = 10x(x + 1) Reorder the terms: 5(-2 + 2x) = 10x(x + 1) (-2 * 5 + 2x * 5) = 10x(x + 1) (-10 + 10x) = 10x(x + 1) Reorder the terms: -10 + 10x = 10x(1 + x) -10 + 10x = (1 * 10x + x * 10x) -10 + 10x = (10x + 10x2) Add '-10x' to each side of the equation. -10 + 10x + -10x = 10x + -10x + 10x2 Combine like terms: 10x + -10x = 0 -10 + 0 = 10x + -10x + 10x2 -10 = 10x + -10x + 10x2 Combine like terms: 10x + -10x = 0 -10 = 0 + 10x2 -10 = 10x2 Solving -10 = 10x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x2' to each side of the equation. -10 + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -10 + -10x2 = 0 Add '10' to each side of the equation. -10 + 10 + -10x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -10x2 = 0 + 10 -10x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -10x2 = 10 Divide each side by '-10'. x2 = -1 Simplifying x2 = -1 Reorder the terms: 1 + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + x2 = 0 The solution to this equation could not be determined.
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