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Simplifying -277 = 5(1 + 8x) + 7x -277 = (1 * 5 + 8x * 5) + 7x -277 = (5 + 40x) + 7x Combine like terms: 40x + 7x = 47x -277 = 5 + 47x Solving -277 = 5 + 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. -277 + -47x = 5 + 47x + -47x Combine like terms: 47x + -47x = 0 -277 + -47x = 5 + 0 -277 + -47x = 5 Add '277' to each side of the equation. -277 + 277 + -47x = 5 + 277 Combine like terms: -277 + 277 = 0 0 + -47x = 5 + 277 -47x = 5 + 277 Combine like terms: 5 + 277 = 282 -47x = 282 Divide each side by '-47'. x = -6 Simplifying x = -6
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