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Simplifying 8(x + 150) = 6(x + 200) Reorder the terms: 8(150 + x) = 6(x + 200) (150 * 8 + x * 8) = 6(x + 200) (1200 + 8x) = 6(x + 200) Reorder the terms: 1200 + 8x = 6(200 + x) 1200 + 8x = (200 * 6 + x * 6) 1200 + 8x = (1200 + 6x) Add '-1200' to each side of the equation. 1200 + -1200 + 8x = 1200 + -1200 + 6x Combine like terms: 1200 + -1200 = 0 0 + 8x = 1200 + -1200 + 6x 8x = 1200 + -1200 + 6x Combine like terms: 1200 + -1200 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 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. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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