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