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Simplifying 50 = 5(6x + -2) + 30 Reorder the terms: 50 = 5(-2 + 6x) + 30 50 = (-2 * 5 + 6x * 5) + 30 50 = (-10 + 30x) + 30 Reorder the terms: 50 = -10 + 30 + 30x Combine like terms: -10 + 30 = 20 50 = 20 + 30x Solving 50 = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 50 + -30x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 50 + -30x = 20 + 0 50 + -30x = 20 Add '-50' to each side of the equation. 50 + -50 + -30x = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -30x = 20 + -50 -30x = 20 + -50 Combine like terms: 20 + -50 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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