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