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Simplifying 5(x + -8) + 6(x + 9) = 35 Reorder the terms: 5(-8 + x) + 6(x + 9) = 35 (-8 * 5 + x * 5) + 6(x + 9) = 35 (-40 + 5x) + 6(x + 9) = 35 Reorder the terms: -40 + 5x + 6(9 + x) = 35 -40 + 5x + (9 * 6 + x * 6) = 35 -40 + 5x + (54 + 6x) = 35 Reorder the terms: -40 + 54 + 5x + 6x = 35 Combine like terms: -40 + 54 = 14 14 + 5x + 6x = 35 Combine like terms: 5x + 6x = 11x 14 + 11x = 35 Solving 14 + 11x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 35 + -14 11x = 35 + -14 Combine like terms: 35 + -14 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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