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Simplifying 0.01(900 + -50x) = 9.8x + 200 (900 * 0.01 + -50x * 0.01) = 9.8x + 200 (9 + -0.5x) = 9.8x + 200 Reorder the terms: 9 + -0.5x = 200 + 9.8x Solving 9 + -0.5x = 200 + 9.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.8x' to each side of the equation. 9 + -0.5x + -9.8x = 200 + 9.8x + -9.8x Combine like terms: -0.5x + -9.8x = -10.3x 9 + -10.3x = 200 + 9.8x + -9.8x Combine like terms: 9.8x + -9.8x = 0.0 9 + -10.3x = 200 + 0.0 9 + -10.3x = 200 Add '-9' to each side of the equation. 9 + -9 + -10.3x = 200 + -9 Combine like terms: 9 + -9 = 0 0 + -10.3x = 200 + -9 -10.3x = 200 + -9 Combine like terms: 200 + -9 = 191 -10.3x = 191 Divide each side by '-10.3'. x = -18.54368932 Simplifying x = -18.54368932
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