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Simplifying 6x + 301 = 5(3x + -1) Reorder the terms: 301 + 6x = 5(3x + -1) Reorder the terms: 301 + 6x = 5(-1 + 3x) 301 + 6x = (-1 * 5 + 3x * 5) 301 + 6x = (-5 + 15x) Solving 301 + 6x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 301 + 6x + -15x = -5 + 15x + -15x Combine like terms: 6x + -15x = -9x 301 + -9x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 301 + -9x = -5 + 0 301 + -9x = -5 Add '-301' to each side of the equation. 301 + -301 + -9x = -5 + -301 Combine like terms: 301 + -301 = 0 0 + -9x = -5 + -301 -9x = -5 + -301 Combine like terms: -5 + -301 = -306 -9x = -306 Divide each side by '-9'. x = 34 Simplifying x = 34
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