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Simplifying (0.80)(16 + -1x) + (0)(x) = (0.20)(16) (16 * 0.80 + -1x * 0.80) + (0)(x) = (0.20)(16) (12.8 + -0.8x) + (0)(x) = (0.20)(16) Anything times zero is zero. 12.8 + -0.8x + 0x = (0.20)(16) Reorder the terms: 12.8 + 0 + -0.8x = (0.20)(16) Combine like terms: 12.8 + 0 = 12.8 12.8 + -0.8x = (0.20)(16) Multiply 0.20 * 16 12.8 + -0.8x = 3.2 Solving 12.8 + -0.8x = 3.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.8' to each side of the equation. 12.8 + -12.8 + -0.8x = 3.2 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -0.8x = 3.2 + -12.8 -0.8x = 3.2 + -12.8 Combine like terms: 3.2 + -12.8 = -9.6 -0.8x = -9.6 Divide each side by '-0.8'. x = 12 Simplifying x = 12
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