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Simplifying 1.5(x + 50) = 0.004x + -299 Reorder the terms: 1.5(50 + x) = 0.004x + -299 (50 * 1.5 + x * 1.5) = 0.004x + -299 (75 + 1.5x) = 0.004x + -299 Reorder the terms: 75 + 1.5x = -299 + 0.004x Solving 75 + 1.5x = -299 + 0.004x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.004x' to each side of the equation. 75 + 1.5x + -0.004x = -299 + 0.004x + -0.004x Combine like terms: 1.5x + -0.004x = 1.496x 75 + 1.496x = -299 + 0.004x + -0.004x Combine like terms: 0.004x + -0.004x = 0.000 75 + 1.496x = -299 + 0.000 75 + 1.496x = -299 Add '-75' to each side of the equation. 75 + -75 + 1.496x = -299 + -75 Combine like terms: 75 + -75 = 0 0 + 1.496x = -299 + -75 1.496x = -299 + -75 Combine like terms: -299 + -75 = -374 1.496x = -374 Divide each side by '1.496'. x = -250 Simplifying x = -250
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