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Simplifying 6(13 + -2x) = 50 + -1x + -46 (13 * 6 + -2x * 6) = 50 + -1x + -46 (78 + -12x) = 50 + -1x + -46 Reorder the terms: 78 + -12x = 50 + -46 + -1x Combine like terms: 50 + -46 = 4 78 + -12x = 4 + -1x Solving 78 + -12x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 78 + -12x + x = 4 + -1x + x Combine like terms: -12x + x = -11x 78 + -11x = 4 + -1x + x Combine like terms: -1x + x = 0 78 + -11x = 4 + 0 78 + -11x = 4 Add '-78' to each side of the equation. 78 + -78 + -11x = 4 + -78 Combine like terms: 78 + -78 = 0 0 + -11x = 4 + -78 -11x = 4 + -78 Combine like terms: 4 + -78 = -74 -11x = -74 Divide each side by '-11'. x = 6.727272727 Simplifying x = 6.727272727
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