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Simplifying 4(2x + -1) + 3(x + -6) = 0 Reorder the terms: 4(-1 + 2x) + 3(x + -6) = 0 (-1 * 4 + 2x * 4) + 3(x + -6) = 0 (-4 + 8x) + 3(x + -6) = 0 Reorder the terms: -4 + 8x + 3(-6 + x) = 0 -4 + 8x + (-6 * 3 + x * 3) = 0 -4 + 8x + (-18 + 3x) = 0 Reorder the terms: -4 + -18 + 8x + 3x = 0 Combine like terms: -4 + -18 = -22 -22 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x -22 + 11x = 0 Solving -22 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 0 + 22 11x = 0 + 22 Combine like terms: 0 + 22 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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