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Simplifying (x + 5) * 55 = 13x + 8 Reorder the terms: (5 + x) * 55 = 13x + 8 Reorder the terms for easier multiplication: 55(5 + x) = 13x + 8 (5 * 55 + x * 55) = 13x + 8 (275 + 55x) = 13x + 8 Reorder the terms: 275 + 55x = 8 + 13x Solving 275 + 55x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 275 + 55x + -13x = 8 + 13x + -13x Combine like terms: 55x + -13x = 42x 275 + 42x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 275 + 42x = 8 + 0 275 + 42x = 8 Add '-275' to each side of the equation. 275 + -275 + 42x = 8 + -275 Combine like terms: 275 + -275 = 0 0 + 42x = 8 + -275 42x = 8 + -275 Combine like terms: 8 + -275 = -267 42x = -267 Divide each side by '42'. x = -6.357142857 Simplifying x = -6.357142857
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