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Simplifying 0.90x + 0.15(600 + -1x) = 0.80(x + 600) 0.90x + (600 * 0.15 + -1x * 0.15) = 0.80(x + 600) 0.90x + (90 + -0.15x) = 0.80(x + 600) Reorder the terms: 90 + 0.90x + -0.15x = 0.80(x + 600) Combine like terms: 0.90x + -0.15x = 0.75x 90 + 0.75x = 0.80(x + 600) Reorder the terms: 90 + 0.75x = 0.80(600 + x) 90 + 0.75x = (600 * 0.80 + x * 0.80) 90 + 0.75x = (480 + 0.80x) Solving 90 + 0.75x = 480 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 90 + 0.75x + -0.80x = 480 + 0.80x + -0.80x Combine like terms: 0.75x + -0.80x = -0.05x 90 + -0.05x = 480 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 90 + -0.05x = 480 + 0.00 90 + -0.05x = 480 Add '-90' to each side of the equation. 90 + -90 + -0.05x = 480 + -90 Combine like terms: 90 + -90 = 0 0 + -0.05x = 480 + -90 -0.05x = 480 + -90 Combine like terms: 480 + -90 = 390 -0.05x = 390 Divide each side by '-0.05'. x = -7800 Simplifying x = -7800
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