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Simplifying 3x + 3(40 + x) = 1770 3x + (40 * 3 + x * 3) = 1770 3x + (120 + 3x) = 1770 Reorder the terms: 120 + 3x + 3x = 1770 Combine like terms: 3x + 3x = 6x 120 + 6x = 1770 Solving 120 + 6x = 1770 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 6x = 1770 + -120 Combine like terms: 120 + -120 = 0 0 + 6x = 1770 + -120 6x = 1770 + -120 Combine like terms: 1770 + -120 = 1650 6x = 1650 Divide each side by '6'. x = 275 Simplifying x = 275
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