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Simplifying 0.5(-0.22 + 2x) = 1.3x (-0.22 * 0.5 + 2x * 0.5) = 1.3x (-0.11 + 1x) = 1.3x Solving -0.11 + 1x = 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -0.11 + 1x + -1.3x = 1.3x + -1.3x Combine like terms: 1x + -1.3x = -0.3x -0.11 + -0.3x = 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -0.11 + -0.3x = 0.0 Add '0.11' to each side of the equation. -0.11 + 0.11 + -0.3x = 0.0 + 0.11 Combine like terms: -0.11 + 0.11 = 0.00 0.00 + -0.3x = 0.0 + 0.11 -0.3x = 0.0 + 0.11 Combine like terms: 0.0 + 0.11 = 0.11 -0.3x = 0.11 Divide each side by '-0.3'. x = -0.3666666667 Simplifying x = -0.3666666667
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