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Simplifying 3(x + 1) = 2(x + 2) * 38 Reorder the terms: 3(1 + x) = 2(x + 2) * 38 (1 * 3 + x * 3) = 2(x + 2) * 38 (3 + 3x) = 2(x + 2) * 38 Reorder the terms: 3 + 3x = 2(2 + x) * 38 Reorder the terms for easier multiplication: 3 + 3x = 2 * 38(2 + x) Multiply 2 * 38 3 + 3x = 76(2 + x) 3 + 3x = (2 * 76 + x * 76) 3 + 3x = (152 + 76x) Solving 3 + 3x = 152 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 3 + 3x + -76x = 152 + 76x + -76x Combine like terms: 3x + -76x = -73x 3 + -73x = 152 + 76x + -76x Combine like terms: 76x + -76x = 0 3 + -73x = 152 + 0 3 + -73x = 152 Add '-3' to each side of the equation. 3 + -3 + -73x = 152 + -3 Combine like terms: 3 + -3 = 0 0 + -73x = 152 + -3 -73x = 152 + -3 Combine like terms: 152 + -3 = 149 -73x = 149 Divide each side by '-73'. x = -2.04109589 Simplifying x = -2.04109589
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