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Simplifying 3 + -2(4 + -1x) = 6 + -4(3x + 1) 3 + (4 * -2 + -1x * -2) = 6 + -4(3x + 1) 3 + (-8 + 2x) = 6 + -4(3x + 1) Combine like terms: 3 + -8 = -5 -5 + 2x = 6 + -4(3x + 1) Reorder the terms: -5 + 2x = 6 + -4(1 + 3x) -5 + 2x = 6 + (1 * -4 + 3x * -4) -5 + 2x = 6 + (-4 + -12x) Combine like terms: 6 + -4 = 2 -5 + 2x = 2 + -12x Solving -5 + 2x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + 2x + 12x = 2 + -12x + 12x Combine like terms: 2x + 12x = 14x -5 + 14x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 14x = 2 + 0 -5 + 14x = 2 Add '5' to each side of the equation. -5 + 5 + 14x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 2 + 5 14x = 2 + 5 Combine like terms: 2 + 5 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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