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Simplifying 38x + -5 = 2 + -1(3 + 58x) Reorder the terms: -5 + 38x = 2 + -1(3 + 58x) -5 + 38x = 2 + (3 * -1 + 58x * -1) -5 + 38x = 2 + (-3 + -58x) Combine like terms: 2 + -3 = -1 -5 + 38x = -1 + -58x Solving -5 + 38x = -1 + -58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58x' to each side of the equation. -5 + 38x + 58x = -1 + -58x + 58x Combine like terms: 38x + 58x = 96x -5 + 96x = -1 + -58x + 58x Combine like terms: -58x + 58x = 0 -5 + 96x = -1 + 0 -5 + 96x = -1 Add '5' to each side of the equation. -5 + 5 + 96x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 96x = -1 + 5 96x = -1 + 5 Combine like terms: -1 + 5 = 4 96x = 4 Divide each side by '96'. x = 0.04166666667 Simplifying x = 0.04166666667
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