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Simplifying 4(11x + -10) + 6 = 8x + 5 Reorder the terms: 4(-10 + 11x) + 6 = 8x + 5 (-10 * 4 + 11x * 4) + 6 = 8x + 5 (-40 + 44x) + 6 = 8x + 5 Reorder the terms: -40 + 6 + 44x = 8x + 5 Combine like terms: -40 + 6 = -34 -34 + 44x = 8x + 5 Reorder the terms: -34 + 44x = 5 + 8x Solving -34 + 44x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -34 + 44x + -8x = 5 + 8x + -8x Combine like terms: 44x + -8x = 36x -34 + 36x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + 36x = 5 + 0 -34 + 36x = 5 Add '34' to each side of the equation. -34 + 34 + 36x = 5 + 34 Combine like terms: -34 + 34 = 0 0 + 36x = 5 + 34 36x = 5 + 34 Combine like terms: 5 + 34 = 39 36x = 39 Divide each side by '36'. x = 1.083333333 Simplifying x = 1.083333333
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