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Simplifying 0.2(2x + -3) = 0.1x + 0.3 Reorder the terms: 0.2(-3 + 2x) = 0.1x + 0.3 (-3 * 0.2 + 2x * 0.2) = 0.1x + 0.3 (-0.6 + 0.4x) = 0.1x + 0.3 Reorder the terms: -0.6 + 0.4x = 0.3 + 0.1x Solving -0.6 + 0.4x = 0.3 + 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. -0.6 + 0.4x + -0.1x = 0.3 + 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x -0.6 + 0.3x = 0.3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.6 + 0.3x = 0.3 + 0.0 -0.6 + 0.3x = 0.3 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.3x = 0.3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3x = 0.3 + 0.6 0.3x = 0.3 + 0.6 Combine like terms: 0.3 + 0.6 = 0.9 0.3x = 0.9 Divide each side by '0.3'. x = 3 Simplifying x = 3
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