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Simplifying 0.2(x + 6) = 8x Reorder the terms: 0.2(6 + x) = 8x (6 * 0.2 + x * 0.2) = 8x (1.2 + 0.2x) = 8x Solving 1.2 + 0.2x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1.2 + 0.2x + -8x = 8x + -8x Combine like terms: 0.2x + -8x = -7.8x 1.2 + -7.8x = 8x + -8x Combine like terms: 8x + -8x = 0 1.2 + -7.8x = 0 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -7.8x = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -7.8x = 0 + -1.2 -7.8x = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -7.8x = -1.2 Divide each side by '-7.8'. x = 0.1538461538 Simplifying x = 0.1538461538
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