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Simplifying 50 + 8x = 6(x + 50) Reorder the terms: 50 + 8x = 6(50 + x) 50 + 8x = (50 * 6 + x * 6) 50 + 8x = (300 + 6x) Solving 50 + 8x = 300 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 50 + 8x + -6x = 300 + 6x + -6x Combine like terms: 8x + -6x = 2x 50 + 2x = 300 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + 2x = 300 + 0 50 + 2x = 300 Add '-50' to each side of the equation. 50 + -50 + 2x = 300 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 300 + -50 2x = 300 + -50 Combine like terms: 300 + -50 = 250 2x = 250 Divide each side by '2'. x = 125 Simplifying x = 125
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