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Simplifying 6.70 = 0.46(x + 12) Reorder the terms: 6.70 = 0.46(12 + x) 6.70 = (12 * 0.46 + x * 0.46) 6.70 = (5.52 + 0.46x) Solving 6.70 = 5.52 + 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. 6.70 + -0.46x = 5.52 + 0.46x + -0.46x Combine like terms: 0.46x + -0.46x = 0.00 6.70 + -0.46x = 5.52 + 0.00 6.70 + -0.46x = 5.52 Add '-6.70' to each side of the equation. 6.70 + -6.70 + -0.46x = 5.52 + -6.70 Combine like terms: 6.70 + -6.70 = 0.00 0.00 + -0.46x = 5.52 + -6.70 -0.46x = 5.52 + -6.70 Combine like terms: 5.52 + -6.70 = -1.18 -0.46x = -1.18 Divide each side by '-0.46'. x = 2.565217391 Simplifying x = 2.565217391
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