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Simplifying (8x + 2) * 0.6 = 6 + 12x Reorder the terms: (2 + 8x) * 0.6 = 6 + 12x Reorder the terms for easier multiplication: 0.6(2 + 8x) = 6 + 12x (2 * 0.6 + 8x * 0.6) = 6 + 12x (1.2 + 4.8x) = 6 + 12x Solving 1.2 + 4.8x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1.2 + 4.8x + -12x = 6 + 12x + -12x Combine like terms: 4.8x + -12x = -7.2x 1.2 + -7.2x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 1.2 + -7.2x = 6 + 0 1.2 + -7.2x = 6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -7.2x = 6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -7.2x = 6 + -1.2 -7.2x = 6 + -1.2 Combine like terms: 6 + -1.2 = 4.8 -7.2x = 4.8 Divide each side by '-7.2'. x = -0.6666666667 Simplifying x = -0.6666666667
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