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Simplifying 2(3x + 2) + 2(x + 1) = 62 Reorder the terms: 2(2 + 3x) + 2(x + 1) = 62 (2 * 2 + 3x * 2) + 2(x + 1) = 62 (4 + 6x) + 2(x + 1) = 62 Reorder the terms: 4 + 6x + 2(1 + x) = 62 4 + 6x + (1 * 2 + x * 2) = 62 4 + 6x + (2 + 2x) = 62 Reorder the terms: 4 + 2 + 6x + 2x = 62 Combine like terms: 4 + 2 = 6 6 + 6x + 2x = 62 Combine like terms: 6x + 2x = 8x 6 + 8x = 62 Solving 6 + 8x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8x = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 62 + -6 8x = 62 + -6 Combine like terms: 62 + -6 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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