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Simplifying 0.5x + -0.01(6 + -1x) = 2.7 0.5x + (6 * -0.01 + -1x * -0.01) = 2.7 0.5x + (-0.06 + 0.01x) = 2.7 Reorder the terms: -0.06 + 0.5x + 0.01x = 2.7 Combine like terms: 0.5x + 0.01x = 0.51x -0.06 + 0.51x = 2.7 Solving -0.06 + 0.51x = 2.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.51x = 2.7 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.51x = 2.7 + 0.06 0.51x = 2.7 + 0.06 Combine like terms: 2.7 + 0.06 = 2.76 0.51x = 2.76 Divide each side by '0.51'. x = 5.411764706 Simplifying x = 5.411764706
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