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Simplifying 0.01(500 + -10x) = 9.8x + 300 (500 * 0.01 + -10x * 0.01) = 9.8x + 300 (5 + -0.1x) = 9.8x + 300 Reorder the terms: 5 + -0.1x = 300 + 9.8x Solving 5 + -0.1x = 300 + 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. 5 + -0.1x + -9.8x = 300 + 9.8x + -9.8x Combine like terms: -0.1x + -9.8x = -9.9x 5 + -9.9x = 300 + 9.8x + -9.8x Combine like terms: 9.8x + -9.8x = 0.0 5 + -9.9x = 300 + 0.0 5 + -9.9x = 300 Add '-5' to each side of the equation. 5 + -5 + -9.9x = 300 + -5 Combine like terms: 5 + -5 = 0 0 + -9.9x = 300 + -5 -9.9x = 300 + -5 Combine like terms: 300 + -5 = 295 -9.9x = 295 Divide each side by '-9.9'. x = -29.7979798 Simplifying x = -29.7979798
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