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Simplifying 6(2x + -5) + -1(x + 4) = 0 Reorder the terms: 6(-5 + 2x) + -1(x + 4) = 0 (-5 * 6 + 2x * 6) + -1(x + 4) = 0 (-30 + 12x) + -1(x + 4) = 0 Reorder the terms: -30 + 12x + -1(4 + x) = 0 -30 + 12x + (4 * -1 + x * -1) = 0 -30 + 12x + (-4 + -1x) = 0 Reorder the terms: -30 + -4 + 12x + -1x = 0 Combine like terms: -30 + -4 = -34 -34 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x -34 + 11x = 0 Solving -34 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 11x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = 0 + 34 11x = 0 + 34 Combine like terms: 0 + 34 = 34 11x = 34 Divide each side by '11'. x = 3.090909091 Simplifying x = 3.090909091
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