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Simplifying 8x + -1(3 + x) = 3x + 2(x + -1) 8x + (3 * -1 + x * -1) = 3x + 2(x + -1) 8x + (-3 + -1x) = 3x + 2(x + -1) Reorder the terms: -3 + 8x + -1x = 3x + 2(x + -1) Combine like terms: 8x + -1x = 7x -3 + 7x = 3x + 2(x + -1) Reorder the terms: -3 + 7x = 3x + 2(-1 + x) -3 + 7x = 3x + (-1 * 2 + x * 2) -3 + 7x = 3x + (-2 + 2x) Reorder the terms: -3 + 7x = -2 + 3x + 2x Combine like terms: 3x + 2x = 5x -3 + 7x = -2 + 5x Solving -3 + 7x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 7x + -5x = -2 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = -2 + 0 -3 + 2x = -2 Add '3' to each side of the equation. -3 + 3 + 2x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -2 + 3 2x = -2 + 3 Combine like terms: -2 + 3 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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