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Simplifying 12 = 6.70(x + 0.46) Reorder the terms: 12 = 6.70(0.46 + x) 12 = (0.46 * 6.70 + x * 6.70) 12 = (3.082 + 6.70x) Solving 12 = 3.082 + 6.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.70x' to each side of the equation. 12 + -6.70x = 3.082 + 6.70x + -6.70x Combine like terms: 6.70x + -6.70x = 0.00 12 + -6.70x = 3.082 + 0.00 12 + -6.70x = 3.082 Add '-12' to each side of the equation. 12 + -12 + -6.70x = 3.082 + -12 Combine like terms: 12 + -12 = 0 0 + -6.70x = 3.082 + -12 -6.70x = 3.082 + -12 Combine like terms: 3.082 + -12 = -8.918 -6.70x = -8.918 Divide each side by '-6.70'. x = 1.331044776 Simplifying x = 1.331044776
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