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Simplifying 4(3x + -2) + -1(x + 4) = 0 Reorder the terms: 4(-2 + 3x) + -1(x + 4) = 0 (-2 * 4 + 3x * 4) + -1(x + 4) = 0 (-8 + 12x) + -1(x + 4) = 0 Reorder the terms: -8 + 12x + -1(4 + x) = 0 -8 + 12x + (4 * -1 + x * -1) = 0 -8 + 12x + (-4 + -1x) = 0 Reorder the terms: -8 + -4 + 12x + -1x = 0 Combine like terms: -8 + -4 = -12 -12 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x -12 + 11x = 0 Solving -12 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 0 + 12 11x = 0 + 12 Combine like terms: 0 + 12 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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