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Simplifying 2x + 30(105 + 2x + 45) = 180 Reorder the terms: 2x + 30(105 + 45 + 2x) = 180 Combine like terms: 105 + 45 = 150 2x + 30(150 + 2x) = 180 2x + (150 * 30 + 2x * 30) = 180 2x + (4500 + 60x) = 180 Reorder the terms: 4500 + 2x + 60x = 180 Combine like terms: 2x + 60x = 62x 4500 + 62x = 180 Solving 4500 + 62x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4500' to each side of the equation. 4500 + -4500 + 62x = 180 + -4500 Combine like terms: 4500 + -4500 = 0 0 + 62x = 180 + -4500 62x = 180 + -4500 Combine like terms: 180 + -4500 = -4320 62x = -4320 Divide each side by '62'. x = -69.67741935 Simplifying x = -69.67741935
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