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Simplifying 5(2x + -4) = 1 + -1(x + -2) Reorder the terms: 5(-4 + 2x) = 1 + -1(x + -2) (-4 * 5 + 2x * 5) = 1 + -1(x + -2) (-20 + 10x) = 1 + -1(x + -2) Reorder the terms: -20 + 10x = 1 + -1(-2 + x) -20 + 10x = 1 + (-2 * -1 + x * -1) -20 + 10x = 1 + (2 + -1x) Combine like terms: 1 + 2 = 3 -20 + 10x = 3 + -1x Solving -20 + 10x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 10x + x = 3 + -1x + x Combine like terms: 10x + x = 11x -20 + 11x = 3 + -1x + x Combine like terms: -1x + x = 0 -20 + 11x = 3 + 0 -20 + 11x = 3 Add '20' to each side of the equation. -20 + 20 + 11x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 3 + 20 11x = 3 + 20 Combine like terms: 3 + 20 = 23 11x = 23 Divide each side by '11'. x = 2.090909091 Simplifying x = 2.090909091
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