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Simplifying x + -1(2x + 5) = 2 + -1(8x + 3) Reorder the terms: x + -1(5 + 2x) = 2 + -1(8x + 3) x + (5 * -1 + 2x * -1) = 2 + -1(8x + 3) x + (-5 + -2x) = 2 + -1(8x + 3) Reorder the terms: -5 + x + -2x = 2 + -1(8x + 3) Combine like terms: x + -2x = -1x -5 + -1x = 2 + -1(8x + 3) Reorder the terms: -5 + -1x = 2 + -1(3 + 8x) -5 + -1x = 2 + (3 * -1 + 8x * -1) -5 + -1x = 2 + (-3 + -8x) Combine like terms: 2 + -3 = -1 -5 + -1x = -1 + -8x Solving -5 + -1x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -1x + 8x = -1 + -8x + 8x Combine like terms: -1x + 8x = 7x -5 + 7x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 7x = -1 + 0 -5 + 7x = -1 Add '5' to each side of the equation. -5 + 5 + 7x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -1 + 5 7x = -1 + 5 Combine like terms: -1 + 5 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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