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Simplifying 8(5 + x) = 11(9x + 1) (5 * 8 + x * 8) = 11(9x + 1) (40 + 8x) = 11(9x + 1) Reorder the terms: 40 + 8x = 11(1 + 9x) 40 + 8x = (1 * 11 + 9x * 11) 40 + 8x = (11 + 99x) Solving 40 + 8x = 11 + 99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99x' to each side of the equation. 40 + 8x + -99x = 11 + 99x + -99x Combine like terms: 8x + -99x = -91x 40 + -91x = 11 + 99x + -99x Combine like terms: 99x + -99x = 0 40 + -91x = 11 + 0 40 + -91x = 11 Add '-40' to each side of the equation. 40 + -40 + -91x = 11 + -40 Combine like terms: 40 + -40 = 0 0 + -91x = 11 + -40 -91x = 11 + -40 Combine like terms: 11 + -40 = -29 -91x = -29 Divide each side by '-91'. x = 0.3186813187 Simplifying x = 0.3186813187
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