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Simplifying 0.2(x + -2) = 0.1(x + 6) Reorder the terms: 0.2(-2 + x) = 0.1(x + 6) (-2 * 0.2 + x * 0.2) = 0.1(x + 6) (-0.4 + 0.2x) = 0.1(x + 6) Reorder the terms: -0.4 + 0.2x = 0.1(6 + x) -0.4 + 0.2x = (6 * 0.1 + x * 0.1) -0.4 + 0.2x = (0.6 + 0.1x) Solving -0.4 + 0.2x = 0.6 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.4 + 0.2x + -0.1x = 0.6 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x -0.4 + 0.1x = 0.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.4 + 0.1x = 0.6 + 0.0 -0.4 + 0.1x = 0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.1x = 0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.1x = 0.6 + 0.4 0.1x = 0.6 + 0.4 Combine like terms: 0.6 + 0.4 = 1 0.1x = 1 Divide each side by '0.1'. x = 10 Simplifying x = 10
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