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Simplifying 2(2x + 1) + 6(x + 1) = 70 Reorder the terms: 2(1 + 2x) + 6(x + 1) = 70 (1 * 2 + 2x * 2) + 6(x + 1) = 70 (2 + 4x) + 6(x + 1) = 70 Reorder the terms: 2 + 4x + 6(1 + x) = 70 2 + 4x + (1 * 6 + x * 6) = 70 2 + 4x + (6 + 6x) = 70 Reorder the terms: 2 + 6 + 4x + 6x = 70 Combine like terms: 2 + 6 = 8 8 + 4x + 6x = 70 Combine like terms: 4x + 6x = 10x 8 + 10x = 70 Solving 8 + 10x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = 70 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 70 + -8 10x = 70 + -8 Combine like terms: 70 + -8 = 62 10x = 62 Divide each side by '10'. x = 6.2 Simplifying x = 6.2
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