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Simplifying 76 + -7x = 38x + 21 Reorder the terms: 76 + -7x = 21 + 38x Solving 76 + -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. 76 + -7x + -38x = 21 + 38x + -38x Combine like terms: -7x + -38x = -45x 76 + -45x = 21 + 38x + -38x Combine like terms: 38x + -38x = 0 76 + -45x = 21 + 0 76 + -45x = 21 Add '-76' to each side of the equation. 76 + -76 + -45x = 21 + -76 Combine like terms: 76 + -76 = 0 0 + -45x = 21 + -76 -45x = 21 + -76 Combine like terms: 21 + -76 = -55 -45x = -55 Divide each side by '-45'. x = 1.222222222 Simplifying x = 1.222222222
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