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Simplifying -0.38x + 0.1(x + -2) = -0.58(1 + -1x) Reorder the terms: -0.38x + 0.1(-2 + x) = -0.58(1 + -1x) -0.38x + (-2 * 0.1 + x * 0.1) = -0.58(1 + -1x) -0.38x + (-0.2 + 0.1x) = -0.58(1 + -1x) Reorder the terms: -0.2 + -0.38x + 0.1x = -0.58(1 + -1x) Combine like terms: -0.38x + 0.1x = -0.28x -0.2 + -0.28x = -0.58(1 + -1x) -0.2 + -0.28x = (1 * -0.58 + -1x * -0.58) -0.2 + -0.28x = (-0.58 + 0.58x) Solving -0.2 + -0.28x = -0.58 + 0.58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.58x' to each side of the equation. -0.2 + -0.28x + -0.58x = -0.58 + 0.58x + -0.58x Combine like terms: -0.28x + -0.58x = -0.86x -0.2 + -0.86x = -0.58 + 0.58x + -0.58x Combine like terms: 0.58x + -0.58x = 0.00 -0.2 + -0.86x = -0.58 + 0.00 -0.2 + -0.86x = -0.58 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.86x = -0.58 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.86x = -0.58 + 0.2 -0.86x = -0.58 + 0.2 Combine like terms: -0.58 + 0.2 = -0.38 -0.86x = -0.38 Divide each side by '-0.86'. x = 0.4418604651 Simplifying x = 0.4418604651
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