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Simplifying 5(x + -2) = 2(4 + -1x) Reorder the terms: 5(-2 + x) = 2(4 + -1x) (-2 * 5 + x * 5) = 2(4 + -1x) (-10 + 5x) = 2(4 + -1x) -10 + 5x = (4 * 2 + -1x * 2) -10 + 5x = (8 + -2x) Solving -10 + 5x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 5x + 2x = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x -10 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 7x = 8 + 0 -10 + 7x = 8 Add '10' to each side of the equation. -10 + 10 + 7x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 8 + 10 7x = 8 + 10 Combine like terms: 8 + 10 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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