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Simplifying 0.2x + 0.5(11 + -1x) = 3.4 0.2x + (11 * 0.5 + -1x * 0.5) = 3.4 0.2x + (5.5 + -0.5x) = 3.4 Reorder the terms: 5.5 + 0.2x + -0.5x = 3.4 Combine like terms: 0.2x + -0.5x = -0.3x 5.5 + -0.3x = 3.4 Solving 5.5 + -0.3x = 3.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -0.3x = 3.4 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -0.3x = 3.4 + -5.5 -0.3x = 3.4 + -5.5 Combine like terms: 3.4 + -5.5 = -2.1 -0.3x = -2.1 Divide each side by '-0.3'. x = 7 Simplifying x = 7
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