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Simplifying 0.3(x + 2) + -0.5(x + 2) = 0.2x + -0.4 Reorder the terms: 0.3(2 + x) + -0.5(x + 2) = 0.2x + -0.4 (2 * 0.3 + x * 0.3) + -0.5(x + 2) = 0.2x + -0.4 (0.6 + 0.3x) + -0.5(x + 2) = 0.2x + -0.4 Reorder the terms: 0.6 + 0.3x + -0.5(2 + x) = 0.2x + -0.4 0.6 + 0.3x + (2 * -0.5 + x * -0.5) = 0.2x + -0.4 0.6 + 0.3x + (-1 + -0.5x) = 0.2x + -0.4 Reorder the terms: 0.6 + -1 + 0.3x + -0.5x = 0.2x + -0.4 Combine like terms: 0.6 + -1 = -0.4 -0.4 + 0.3x + -0.5x = 0.2x + -0.4 Combine like terms: 0.3x + -0.5x = -0.2x -0.4 + -0.2x = 0.2x + -0.4 Reorder the terms: -0.4 + -0.2x = -0.4 + 0.2x Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.2x = -0.4 + 0.4 + 0.2x Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.2x = -0.4 + 0.4 + 0.2x -0.2x = -0.4 + 0.4 + 0.2x Combine like terms: -0.4 + 0.4 = 0.0 -0.2x = 0.0 + 0.2x -0.2x = 0.2x Solving -0.2x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.2x + -0.2x = 0.2x + -0.2x Combine like terms: -0.2x + -0.2x = -0.4x -0.4x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4x = 0.0 Divide each side by '-0.4'. x = 0 Simplifying x = 0
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