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Simplifying x + 2(x + 1) + 3(x + 2) = 11x Reorder the terms: x + 2(1 + x) + 3(x + 2) = 11x x + (1 * 2 + x * 2) + 3(x + 2) = 11x x + (2 + 2x) + 3(x + 2) = 11x Reorder the terms: x + 2 + 2x + 3(2 + x) = 11x x + 2 + 2x + (2 * 3 + x * 3) = 11x x + 2 + 2x + (6 + 3x) = 11x Reorder the terms: 2 + 6 + x + 2x + 3x = 11x Combine like terms: 2 + 6 = 8 8 + x + 2x + 3x = 11x Combine like terms: x + 2x = 3x 8 + 3x + 3x = 11x Combine like terms: 3x + 3x = 6x 8 + 6x = 11x Solving 8 + 6x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + 6x + -11x = 11x + -11x Combine like terms: 6x + -11x = -5x 8 + -5x = 11x + -11x Combine like terms: 11x + -11x = 0 8 + -5x = 0 Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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