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Simplifying 0.4x + 0.7(x + 40) = 33.5 Reorder the terms: 0.4x + 0.7(40 + x) = 33.5 0.4x + (40 * 0.7 + x * 0.7) = 33.5 0.4x + (28 + 0.7x) = 33.5 Reorder the terms: 28 + 0.4x + 0.7x = 33.5 Combine like terms: 0.4x + 0.7x = 1.1x 28 + 1.1x = 33.5 Solving 28 + 1.1x = 33.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1.1x = 33.5 + -28 Combine like terms: 28 + -28 = 0 0 + 1.1x = 33.5 + -28 1.1x = 33.5 + -28 Combine like terms: 33.5 + -28 = 5.5 1.1x = 5.5 Divide each side by '1.1'. x = 5 Simplifying x = 5
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