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Simplifying 6.70 = 12(x + 0.46) Reorder the terms: 6.70 = 12(0.46 + x) 6.70 = (0.46 * 12 + x * 12) 6.70 = (5.52 + 12x) Solving 6.70 = 5.52 + 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. 6.70 + -12x = 5.52 + 12x + -12x Combine like terms: 12x + -12x = 0 6.70 + -12x = 5.52 + 0 6.70 + -12x = 5.52 Add '-6.70' to each side of the equation. 6.70 + -6.70 + -12x = 5.52 + -6.70 Combine like terms: 6.70 + -6.70 = 0.00 0.00 + -12x = 5.52 + -6.70 -12x = 5.52 + -6.70 Combine like terms: 5.52 + -6.70 = -1.18 -12x = -1.18 Divide each side by '-12'. x = 0.09833333333 Simplifying x = 0.09833333333
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