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Simplifying 29.99 + 0.05(x + -100) = 39.99 + 0.03(x + -200) Reorder the terms: 29.99 + 0.05(-100 + x) = 39.99 + 0.03(x + -200) 29.99 + (-100 * 0.05 + x * 0.05) = 39.99 + 0.03(x + -200) 29.99 + (-5 + 0.05x) = 39.99 + 0.03(x + -200) Combine like terms: 29.99 + -5 = 24.99 24.99 + 0.05x = 39.99 + 0.03(x + -200) Reorder the terms: 24.99 + 0.05x = 39.99 + 0.03(-200 + x) 24.99 + 0.05x = 39.99 + (-200 * 0.03 + x * 0.03) 24.99 + 0.05x = 39.99 + (-6 + 0.03x) Combine like terms: 39.99 + -6 = 33.99 24.99 + 0.05x = 33.99 + 0.03x Solving 24.99 + 0.05x = 33.99 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 24.99 + 0.05x + -0.03x = 33.99 + 0.03x + -0.03x Combine like terms: 0.05x + -0.03x = 0.02x 24.99 + 0.02x = 33.99 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 24.99 + 0.02x = 33.99 + 0.00 24.99 + 0.02x = 33.99 Add '-24.99' to each side of the equation. 24.99 + -24.99 + 0.02x = 33.99 + -24.99 Combine like terms: 24.99 + -24.99 = 0.00 0.00 + 0.02x = 33.99 + -24.99 0.02x = 33.99 + -24.99 Combine like terms: 33.99 + -24.99 = 9 0.02x = 9 Divide each side by '0.02'. x = 450 Simplifying x = 450
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