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Simplifying 0.7x + 0.4(x + 40) = 19.3 Reorder the terms: 0.7x + 0.4(40 + x) = 19.3 0.7x + (40 * 0.4 + x * 0.4) = 19.3 0.7x + (16 + 0.4x) = 19.3 Reorder the terms: 16 + 0.7x + 0.4x = 19.3 Combine like terms: 0.7x + 0.4x = 1.1x 16 + 1.1x = 19.3 Solving 16 + 1.1x = 19.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1.1x = 19.3 + -16 Combine like terms: 16 + -16 = 0 0 + 1.1x = 19.3 + -16 1.1x = 19.3 + -16 Combine like terms: 19.3 + -16 = 3.3 1.1x = 3.3 Divide each side by '1.1'. x = 3 Simplifying x = 3
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