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Simplifying 38x + 44(7) = 40(x + 7) Multiply 44 * 7 38x + 308 = 40(x + 7) Reorder the terms: 308 + 38x = 40(x + 7) Reorder the terms: 308 + 38x = 40(7 + x) 308 + 38x = (7 * 40 + x * 40) 308 + 38x = (280 + 40x) Solving 308 + 38x = 280 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 308 + 38x + -40x = 280 + 40x + -40x Combine like terms: 38x + -40x = -2x 308 + -2x = 280 + 40x + -40x Combine like terms: 40x + -40x = 0 308 + -2x = 280 + 0 308 + -2x = 280 Add '-308' to each side of the equation. 308 + -308 + -2x = 280 + -308 Combine like terms: 308 + -308 = 0 0 + -2x = 280 + -308 -2x = 280 + -308 Combine like terms: 280 + -308 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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