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Simplifying 0.3(x + 0.2) = 0.9x Reorder the terms: 0.3(0.2 + x) = 0.9x (0.2 * 0.3 + x * 0.3) = 0.9x (0.06 + 0.3x) = 0.9x Solving 0.06 + 0.3x = 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.06 + 0.3x + -0.9x = 0.9x + -0.9x Combine like terms: 0.3x + -0.9x = -0.6x 0.06 + -0.6x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.06 + -0.6x = 0.0 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.6x = 0.0 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.6x = 0.0 + -0.06 -0.6x = 0.0 + -0.06 Combine like terms: 0.0 + -0.06 = -0.06 -0.6x = -0.06 Divide each side by '-0.6'. x = 0.1 Simplifying x = 0.1
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