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Simplifying 5x + -1(4 + -1x) = 8 + -1(2 + x) 5x + (4 * -1 + -1x * -1) = 8 + -1(2 + x) 5x + (-4 + 1x) = 8 + -1(2 + x) Reorder the terms: -4 + 5x + 1x = 8 + -1(2 + x) Combine like terms: 5x + 1x = 6x -4 + 6x = 8 + -1(2 + x) -4 + 6x = 8 + (2 * -1 + x * -1) -4 + 6x = 8 + (-2 + -1x) Combine like terms: 8 + -2 = 6 -4 + 6x = 6 + -1x Solving -4 + 6x = 6 + -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. -4 + 6x + x = 6 + -1x + x Combine like terms: 6x + x = 7x -4 + 7x = 6 + -1x + x Combine like terms: -1x + x = 0 -4 + 7x = 6 + 0 -4 + 7x = 6 Add '4' to each side of the equation. -4 + 4 + 7x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 6 + 4 7x = 6 + 4 Combine like terms: 6 + 4 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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