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Simplifying 0.2(x + 2) + -0.5(x + 2) = 0.3x + -0.6 Reorder the terms: 0.2(2 + x) + -0.5(x + 2) = 0.3x + -0.6 (2 * 0.2 + x * 0.2) + -0.5(x + 2) = 0.3x + -0.6 (0.4 + 0.2x) + -0.5(x + 2) = 0.3x + -0.6 Reorder the terms: 0.4 + 0.2x + -0.5(2 + x) = 0.3x + -0.6 0.4 + 0.2x + (2 * -0.5 + x * -0.5) = 0.3x + -0.6 0.4 + 0.2x + (-1 + -0.5x) = 0.3x + -0.6 Reorder the terms: 0.4 + -1 + 0.2x + -0.5x = 0.3x + -0.6 Combine like terms: 0.4 + -1 = -0.6 -0.6 + 0.2x + -0.5x = 0.3x + -0.6 Combine like terms: 0.2x + -0.5x = -0.3x -0.6 + -0.3x = 0.3x + -0.6 Reorder the terms: -0.6 + -0.3x = -0.6 + 0.3x Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.3x = -0.6 + 0.6 + 0.3x Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.3x = -0.6 + 0.6 + 0.3x -0.3x = -0.6 + 0.6 + 0.3x Combine like terms: -0.6 + 0.6 = 0.0 -0.3x = 0.0 + 0.3x -0.3x = 0.3x Solving -0.3x = 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. -0.3x + -0.3x = 0.3x + -0.3x Combine like terms: -0.3x + -0.3x = -0.6x -0.6x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6x = 0.0 Divide each side by '-0.6'. x = 0 Simplifying x = 0
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