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Simplifying 0.2(x + -6) = 0.3x + 2 + 0.1 Reorder the terms: 0.2(-6 + x) = 0.3x + 2 + 0.1 (-6 * 0.2 + x * 0.2) = 0.3x + 2 + 0.1 (-1.2 + 0.2x) = 0.3x + 2 + 0.1 Reorder the terms: -1.2 + 0.2x = 2 + 0.1 + 0.3x Combine like terms: 2 + 0.1 = 2.1 -1.2 + 0.2x = 2.1 + 0.3x Solving -1.2 + 0.2x = 2.1 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -1.2 + 0.2x + -0.3x = 2.1 + 0.3x + -0.3x Combine like terms: 0.2x + -0.3x = -0.1x -1.2 + -0.1x = 2.1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1.2 + -0.1x = 2.1 + 0.0 -1.2 + -0.1x = 2.1 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.1x = 2.1 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.1x = 2.1 + 1.2 -0.1x = 2.1 + 1.2 Combine like terms: 2.1 + 1.2 = 3.3 -0.1x = 3.3 Divide each side by '-0.1'. x = -33 Simplifying x = -33
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