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Simplifying 11 + 5x = 8(1 + x) 11 + 5x = (1 * 8 + x * 8) 11 + 5x = (8 + 8x) Solving 11 + 5x = 8 + 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. 11 + 5x + -8x = 8 + 8x + -8x Combine like terms: 5x + -8x = -3x 11 + -3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -3x = 8 + 0 11 + -3x = 8 Add '-11' to each side of the equation. 11 + -11 + -3x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 8 + -11 -3x = 8 + -11 Combine like terms: 8 + -11 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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