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Simplifying 12 = 0.46(x + 6.70) Reorder the terms: 12 = 0.46(6.70 + x) 12 = (6.70 * 0.46 + x * 0.46) 12 = (3.082 + 0.46x) Solving 12 = 3.082 + 0.46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.46x' to each side of the equation. 12 + -0.46x = 3.082 + 0.46x + -0.46x Combine like terms: 0.46x + -0.46x = 0.00 12 + -0.46x = 3.082 + 0.00 12 + -0.46x = 3.082 Add '-12' to each side of the equation. 12 + -12 + -0.46x = 3.082 + -12 Combine like terms: 12 + -12 = 0 0 + -0.46x = 3.082 + -12 -0.46x = 3.082 + -12 Combine like terms: 3.082 + -12 = -8.918 -0.46x = -8.918 Divide each side by '-0.46'. x = 19.38695652 Simplifying x = 19.38695652
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