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