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Simplifying 4x + -1(x + 2) = -2(x + -4) Reorder the terms: 4x + -1(2 + x) = -2(x + -4) 4x + (2 * -1 + x * -1) = -2(x + -4) 4x + (-2 + -1x) = -2(x + -4) Reorder the terms: -2 + 4x + -1x = -2(x + -4) Combine like terms: 4x + -1x = 3x -2 + 3x = -2(x + -4) Reorder the terms: -2 + 3x = -2(-4 + x) -2 + 3x = (-4 * -2 + x * -2) -2 + 3x = (8 + -2x) Solving -2 + 3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 5x = 8 + 0 -2 + 5x = 8 Add '2' to each side of the equation. -2 + 2 + 5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 8 + 2 5x = 8 + 2 Combine like terms: 8 + 2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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