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Simplifying 11 = 8(5x + 2) + -1(4x + 5) Reorder the terms: 11 = 8(2 + 5x) + -1(4x + 5) 11 = (2 * 8 + 5x * 8) + -1(4x + 5) 11 = (16 + 40x) + -1(4x + 5) Reorder the terms: 11 = 16 + 40x + -1(5 + 4x) 11 = 16 + 40x + (5 * -1 + 4x * -1) 11 = 16 + 40x + (-5 + -4x) Reorder the terms: 11 = 16 + -5 + 40x + -4x Combine like terms: 16 + -5 = 11 11 = 11 + 40x + -4x Combine like terms: 40x + -4x = 36x 11 = 11 + 36x Add '-11' to each side of the equation. 11 + -11 = 11 + -11 + 36x Combine like terms: 11 + -11 = 0 0 = 11 + -11 + 36x Combine like terms: 11 + -11 = 0 0 = 0 + 36x 0 = 36x Solving 0 = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 0 + -36x = 36x + -36x Remove the zero: -36x = 36x + -36x Combine like terms: 36x + -36x = 0 -36x = 0 Divide each side by '-36'. x = 0 Simplifying x = 0
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