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Simplifying 3 + -6(3x + -9) = 3(14 + 35x) + -5 Reorder the terms: 3 + -6(-9 + 3x) = 3(14 + 35x) + -5 3 + (-9 * -6 + 3x * -6) = 3(14 + 35x) + -5 3 + (54 + -18x) = 3(14 + 35x) + -5 Combine like terms: 3 + 54 = 57 57 + -18x = 3(14 + 35x) + -5 57 + -18x = (14 * 3 + 35x * 3) + -5 57 + -18x = (42 + 105x) + -5 Reorder the terms: 57 + -18x = 42 + -5 + 105x Combine like terms: 42 + -5 = 37 57 + -18x = 37 + 105x Solving 57 + -18x = 37 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 57 + -18x + -105x = 37 + 105x + -105x Combine like terms: -18x + -105x = -123x 57 + -123x = 37 + 105x + -105x Combine like terms: 105x + -105x = 0 57 + -123x = 37 + 0 57 + -123x = 37 Add '-57' to each side of the equation. 57 + -57 + -123x = 37 + -57 Combine like terms: 57 + -57 = 0 0 + -123x = 37 + -57 -123x = 37 + -57 Combine like terms: 37 + -57 = -20 -123x = -20 Divide each side by '-123'. x = 0.162601626 Simplifying x = 0.162601626
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