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Simplifying 0.7(x + 15) + 0.4(x + 25) = 37 Reorder the terms: 0.7(15 + x) + 0.4(x + 25) = 37 (15 * 0.7 + x * 0.7) + 0.4(x + 25) = 37 (10.5 + 0.7x) + 0.4(x + 25) = 37 Reorder the terms: 10.5 + 0.7x + 0.4(25 + x) = 37 10.5 + 0.7x + (25 * 0.4 + x * 0.4) = 37 10.5 + 0.7x + (10 + 0.4x) = 37 Reorder the terms: 10.5 + 10 + 0.7x + 0.4x = 37 Combine like terms: 10.5 + 10 = 20.5 20.5 + 0.7x + 0.4x = 37 Combine like terms: 0.7x + 0.4x = 1.1x 20.5 + 1.1x = 37 Solving 20.5 + 1.1x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + 1.1x = 37 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 1.1x = 37 + -20.5 1.1x = 37 + -20.5 Combine like terms: 37 + -20.5 = 16.5 1.1x = 16.5 Divide each side by '1.1'. x = 15 Simplifying x = 15
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