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Simplifying 7 = 47(x + 7) Reorder the terms: 7 = 47(7 + x) 7 = (7 * 47 + x * 47) 7 = (329 + 47x) Solving 7 = 329 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 7 + -47x = 329 + 47x + -47x Combine like terms: 47x + -47x = 0 7 + -47x = 329 + 0 7 + -47x = 329 Add '-7' to each side of the equation. 7 + -7 + -47x = 329 + -7 Combine like terms: 7 + -7 = 0 0 + -47x = 329 + -7 -47x = 329 + -7 Combine like terms: 329 + -7 = 322 -47x = 322 Divide each side by '-47'. x = -6.85106383 Simplifying x = -6.85106383
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