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Simplifying 2(2x + 1) + 6(x + 30) = 70 Reorder the terms: 2(1 + 2x) + 6(x + 30) = 70 (1 * 2 + 2x * 2) + 6(x + 30) = 70 (2 + 4x) + 6(x + 30) = 70 Reorder the terms: 2 + 4x + 6(30 + x) = 70 2 + 4x + (30 * 6 + x * 6) = 70 2 + 4x + (180 + 6x) = 70 Reorder the terms: 2 + 180 + 4x + 6x = 70 Combine like terms: 2 + 180 = 182 182 + 4x + 6x = 70 Combine like terms: 4x + 6x = 10x 182 + 10x = 70 Solving 182 + 10x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-182' to each side of the equation. 182 + -182 + 10x = 70 + -182 Combine like terms: 182 + -182 = 0 0 + 10x = 70 + -182 10x = 70 + -182 Combine like terms: 70 + -182 = -112 10x = -112 Divide each side by '10'. x = -11.2 Simplifying x = -11.2
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