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Simplifying 3(1 + x) + 4(2x + 1) = 62 (1 * 3 + x * 3) + 4(2x + 1) = 62 (3 + 3x) + 4(2x + 1) = 62 Reorder the terms: 3 + 3x + 4(1 + 2x) = 62 3 + 3x + (1 * 4 + 2x * 4) = 62 3 + 3x + (4 + 8x) = 62 Reorder the terms: 3 + 4 + 3x + 8x = 62 Combine like terms: 3 + 4 = 7 7 + 3x + 8x = 62 Combine like terms: 3x + 8x = 11x 7 + 11x = 62 Solving 7 + 11x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 62 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 62 + -7 11x = 62 + -7 Combine like terms: 62 + -7 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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