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Simplifying 0.2x + -0.4 = 0.6(2x + -6) + -0.1 Reorder the terms: -0.4 + 0.2x = 0.6(2x + -6) + -0.1 Reorder the terms: -0.4 + 0.2x = 0.6(-6 + 2x) + -0.1 -0.4 + 0.2x = (-6 * 0.6 + 2x * 0.6) + -0.1 -0.4 + 0.2x = (-3.6 + 1.2x) + -0.1 Reorder the terms: -0.4 + 0.2x = -3.6 + -0.1 + 1.2x Combine like terms: -3.6 + -0.1 = -3.7 -0.4 + 0.2x = -3.7 + 1.2x Solving -0.4 + 0.2x = -3.7 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.4 + 0.2x + -1.2x = -3.7 + 1.2x + -1.2x Combine like terms: 0.2x + -1.2x = -1x -0.4 + -1x = -3.7 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.4 + -1x = -3.7 + 0.0 -0.4 + -1x = -3.7 Add '0.4' to each side of the equation. -0.4 + 0.4 + -1x = -3.7 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -1x = -3.7 + 0.4 -1x = -3.7 + 0.4 Combine like terms: -3.7 + 0.4 = -3.3 -1x = -3.3 Divide each side by '-1'. x = 3.3 Simplifying x = 3.3
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