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Simplifying 5(x + -8) + 6(x + 6) = 35 Reorder the terms: 5(-8 + x) + 6(x + 6) = 35 (-8 * 5 + x * 5) + 6(x + 6) = 35 (-40 + 5x) + 6(x + 6) = 35 Reorder the terms: -40 + 5x + 6(6 + x) = 35 -40 + 5x + (6 * 6 + x * 6) = 35 -40 + 5x + (36 + 6x) = 35 Reorder the terms: -40 + 36 + 5x + 6x = 35 Combine like terms: -40 + 36 = -4 -4 + 5x + 6x = 35 Combine like terms: 5x + 6x = 11x -4 + 11x = 35 Solving -4 + 11x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 35 + 4 11x = 35 + 4 Combine like terms: 35 + 4 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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