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Simplifying 2.5(100) + 4(50) = x(150) Multiply 2.5 * 100 250 + 4(50) = x(150) Multiply 4 * 50 250 + 200 = x(150) Combine like terms: 250 + 200 = 450 450 = x(150) Reorder the terms for easier multiplication: 450 = 150x Solving 450 = 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 450 + -150x = 150x + -150x Combine like terms: 150x + -150x = 0 450 + -150x = 0 Add '-450' to each side of the equation. 450 + -450 + -150x = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -150x = 0 + -450 -150x = 0 + -450 Combine like terms: 0 + -450 = -450 -150x = -450 Divide each side by '-150'. x = 3 Simplifying x = 3
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