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Simplifying -6(3x + 1) + 11(-2x + 7) = 0 Reorder the terms: -6(1 + 3x) + 11(-2x + 7) = 0 (1 * -6 + 3x * -6) + 11(-2x + 7) = 0 (-6 + -18x) + 11(-2x + 7) = 0 Reorder the terms: -6 + -18x + 11(7 + -2x) = 0 -6 + -18x + (7 * 11 + -2x * 11) = 0 -6 + -18x + (77 + -22x) = 0 Reorder the terms: -6 + 77 + -18x + -22x = 0 Combine like terms: -6 + 77 = 71 71 + -18x + -22x = 0 Combine like terms: -18x + -22x = -40x 71 + -40x = 0 Solving 71 + -40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -40x = 0 + -71 Combine like terms: 71 + -71 = 0 0 + -40x = 0 + -71 -40x = 0 + -71 Combine like terms: 0 + -71 = -71 -40x = -71 Divide each side by '-40'. x = 1.775 Simplifying x = 1.775
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