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Simplifying 0.46 = 6.70(x + 0.46) Reorder the terms: 0.46 = 6.70(0.46 + x) 0.46 = (0.46 * 6.70 + x * 6.70) 0.46 = (3.082 + 6.70x) Solving 0.46 = 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. 0.46 + -6.70x = 3.082 + 6.70x + -6.70x Combine like terms: 6.70x + -6.70x = 0.00 0.46 + -6.70x = 3.082 + 0.00 0.46 + -6.70x = 3.082 Add '-0.46' to each side of the equation. 0.46 + -0.46 + -6.70x = 3.082 + -0.46 Combine like terms: 0.46 + -0.46 = 0.00 0.00 + -6.70x = 3.082 + -0.46 -6.70x = 3.082 + -0.46 Combine like terms: 3.082 + -0.46 = 2.622 -6.70x = 2.622 Divide each side by '-6.70'. x = -0.3913432836 Simplifying x = -0.3913432836
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