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Simplifying 11x + 7 = 8(1 + x) Reorder the terms: 7 + 11x = 8(1 + x) 7 + 11x = (1 * 8 + x * 8) 7 + 11x = (8 + 8x) Solving 7 + 11x = 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. 7 + 11x + -8x = 8 + 8x + -8x Combine like terms: 11x + -8x = 3x 7 + 3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 3x = 8 + 0 7 + 3x = 8 Add '-7' to each side of the equation. 7 + -7 + 3x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 8 + -7 3x = 8 + -7 Combine like terms: 8 + -7 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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