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Simplifying 101 + -7x = 38x + 21 Reorder the terms: 101 + -7x = 21 + 38x Solving 101 + -7x = 21 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 101 + -7x + -38x = 21 + 38x + -38x Combine like terms: -7x + -38x = -45x 101 + -45x = 21 + 38x + -38x Combine like terms: 38x + -38x = 0 101 + -45x = 21 + 0 101 + -45x = 21 Add '-101' to each side of the equation. 101 + -101 + -45x = 21 + -101 Combine like terms: 101 + -101 = 0 0 + -45x = 21 + -101 -45x = 21 + -101 Combine like terms: 21 + -101 = -80 -45x = -80 Divide each side by '-45'. x = 1.777777778 Simplifying x = 1.777777778
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