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Simplifying 0.3(x + 6) = 0.8x Reorder the terms: 0.3(6 + x) = 0.8x (6 * 0.3 + x * 0.3) = 0.8x (1.8 + 0.3x) = 0.8x Solving 1.8 + 0.3x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.8 + 0.3x + -0.8x = 0.8x + -0.8x Combine like terms: 0.3x + -0.8x = -0.5x 1.8 + -0.5x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.8 + -0.5x = 0.0 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.5x = 0.0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.5x = 0.0 + -1.8 -0.5x = 0.0 + -1.8 Combine like terms: 0.0 + -1.8 = -1.8 -0.5x = -1.8 Divide each side by '-0.5'. x = 3.6 Simplifying x = 3.6
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