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Simplifying 8 + -4(x + 1) + -1(5 + -1x) = 1 + -5(x + -2) Reorder the terms: 8 + -4(1 + x) + -1(5 + -1x) = 1 + -5(x + -2) 8 + (1 * -4 + x * -4) + -1(5 + -1x) = 1 + -5(x + -2) 8 + (-4 + -4x) + -1(5 + -1x) = 1 + -5(x + -2) 8 + -4 + -4x + (5 * -1 + -1x * -1) = 1 + -5(x + -2) 8 + -4 + -4x + (-5 + 1x) = 1 + -5(x + -2) Reorder the terms: 8 + -4 + -5 + -4x + 1x = 1 + -5(x + -2) Combine like terms: 8 + -4 = 4 4 + -5 + -4x + 1x = 1 + -5(x + -2) Combine like terms: 4 + -5 = -1 -1 + -4x + 1x = 1 + -5(x + -2) Combine like terms: -4x + 1x = -3x -1 + -3x = 1 + -5(x + -2) Reorder the terms: -1 + -3x = 1 + -5(-2 + x) -1 + -3x = 1 + (-2 * -5 + x * -5) -1 + -3x = 1 + (10 + -5x) Combine like terms: 1 + 10 = 11 -1 + -3x = 11 + -5x Solving -1 + -3x = 11 + -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. -1 + -3x + 5x = 11 + -5x + 5x Combine like terms: -3x + 5x = 2x -1 + 2x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 2x = 11 + 0 -1 + 2x = 11 Add '1' to each side of the equation. -1 + 1 + 2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 11 + 1 2x = 11 + 1 Combine like terms: 11 + 1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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