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Simplifying 284 + -7x = 38x + 24 Reorder the terms: 284 + -7x = 24 + 38x Solving 284 + -7x = 24 + 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. 284 + -7x + -38x = 24 + 38x + -38x Combine like terms: -7x + -38x = -45x 284 + -45x = 24 + 38x + -38x Combine like terms: 38x + -38x = 0 284 + -45x = 24 + 0 284 + -45x = 24 Add '-284' to each side of the equation. 284 + -284 + -45x = 24 + -284 Combine like terms: 284 + -284 = 0 0 + -45x = 24 + -284 -45x = 24 + -284 Combine like terms: 24 + -284 = -260 -45x = -260 Divide each side by '-45'. x = 5.777777778 Simplifying x = 5.777777778
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