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Simplifying 8(x + 30) = 6(x + 50) Reorder the terms: 8(30 + x) = 6(x + 50) (30 * 8 + x * 8) = 6(x + 50) (240 + 8x) = 6(x + 50) Reorder the terms: 240 + 8x = 6(50 + x) 240 + 8x = (50 * 6 + x * 6) 240 + 8x = (300 + 6x) Solving 240 + 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. 240 + 8x + -6x = 300 + 6x + -6x Combine like terms: 8x + -6x = 2x 240 + 2x = 300 + 6x + -6x Combine like terms: 6x + -6x = 0 240 + 2x = 300 + 0 240 + 2x = 300 Add '-240' to each side of the equation. 240 + -240 + 2x = 300 + -240 Combine like terms: 240 + -240 = 0 0 + 2x = 300 + -240 2x = 300 + -240 Combine like terms: 300 + -240 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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