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Simplifying 0.2x + 0.7(8 + -1x) = 0.55(8) 0.2x + (8 * 0.7 + -1x * 0.7) = 0.55(8) 0.2x + (5.6 + -0.7x) = 0.55(8) Reorder the terms: 5.6 + 0.2x + -0.7x = 0.55(8) Combine like terms: 0.2x + -0.7x = -0.5x 5.6 + -0.5x = 0.55(8) Multiply 0.55 * 8 5.6 + -0.5x = 4.4 Solving 5.6 + -0.5x = 4.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + -0.5x = 4.4 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -0.5x = 4.4 + -5.6 -0.5x = 4.4 + -5.6 Combine like terms: 4.4 + -5.6 = -1.2 -0.5x = -1.2 Divide each side by '-0.5'. x = 2.4 Simplifying x = 2.4
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