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Simplifying 0.15(x + 2) = 0.3 + 0.2x Reorder the terms: 0.15(2 + x) = 0.3 + 0.2x (2 * 0.15 + x * 0.15) = 0.3 + 0.2x (0.3 + 0.15x) = 0.3 + 0.2x Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.15x = 0.3 + -0.3 + 0.2x Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.15x = 0.3 + -0.3 + 0.2x 0.15x = 0.3 + -0.3 + 0.2x Combine like terms: 0.3 + -0.3 = 0.0 0.15x = 0.0 + 0.2x 0.15x = 0.2x Solving 0.15x = 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. 0.15x + -0.2x = 0.2x + -0.2x Combine like terms: 0.15x + -0.2x = -0.05x -0.05x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.05x = 0.0 Divide each side by '-0.05'. x = 0 Simplifying x = 0
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