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Simplifying 0.6x + 0.8(40 + -1x) = 28.8 0.6x + (40 * 0.8 + -1x * 0.8) = 28.8 0.6x + (32 + -0.8x) = 28.8 Reorder the terms: 32 + 0.6x + -0.8x = 28.8 Combine like terms: 0.6x + -0.8x = -0.2x 32 + -0.2x = 28.8 Solving 32 + -0.2x = 28.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -0.2x = 28.8 + -32 Combine like terms: 32 + -32 = 0 0 + -0.2x = 28.8 + -32 -0.2x = 28.8 + -32 Combine like terms: 28.8 + -32 = -3.2 -0.2x = -3.2 Divide each side by '-0.2'. x = 16 Simplifying x = 16
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