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Simplifying 0.15x + 0.80(200 + -1x) = -0.45x 0.15x + (200 * 0.80 + -1x * 0.80) = -0.45x 0.15x + (160 + -0.8x) = -0.45x Reorder the terms: 160 + 0.15x + -0.8x = -0.45x Combine like terms: 0.15x + -0.8x = -0.65x 160 + -0.65x = -0.45x Solving 160 + -0.65x = -0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.45x' to each side of the equation. 160 + -0.65x + 0.45x = -0.45x + 0.45x Combine like terms: -0.65x + 0.45x = -0.2x 160 + -0.2x = -0.45x + 0.45x Combine like terms: -0.45x + 0.45x = 0.00 160 + -0.2x = 0.00 Add '-160' to each side of the equation. 160 + -160 + -0.2x = 0.00 + -160 Combine like terms: 160 + -160 = 0 0 + -0.2x = 0.00 + -160 -0.2x = 0.00 + -160 Combine like terms: 0.00 + -160 = -160 -0.2x = -160 Divide each side by '-0.2'. x = 800 Simplifying x = 800
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