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Simplifying x + 2(1 + x) + 3(1 + x) = 62 x + (1 * 2 + x * 2) + 3(1 + x) = 62 x + (2 + 2x) + 3(1 + x) = 62 x + 2 + 2x + (1 * 3 + x * 3) = 62 x + 2 + 2x + (3 + 3x) = 62 Reorder the terms: 2 + 3 + x + 2x + 3x = 62 Combine like terms: 2 + 3 = 5 5 + x + 2x + 3x = 62 Combine like terms: x + 2x = 3x 5 + 3x + 3x = 62 Combine like terms: 3x + 3x = 6x 5 + 6x = 62 Solving 5 + 6x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 62 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 62 + -5 6x = 62 + -5 Combine like terms: 62 + -5 = 57 6x = 57 Divide each side by '6'. x = 9.5 Simplifying x = 9.5
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