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Simplifying (x + 12) * 0.7 = x * 0.75 Reorder the terms: (12 + x) * 0.7 = x * 0.75 Reorder the terms for easier multiplication: 0.7(12 + x) = x * 0.75 (12 * 0.7 + x * 0.7) = x * 0.75 (8.4 + 0.7x) = x * 0.75 Reorder the terms for easier multiplication: 8.4 + 0.7x = 0.75x Solving 8.4 + 0.7x = 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 8.4 + 0.7x + -0.75x = 0.75x + -0.75x Combine like terms: 0.7x + -0.75x = -0.05x 8.4 + -0.05x = 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 8.4 + -0.05x = 0.00 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -0.05x = 0.00 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -0.05x = 0.00 + -8.4 -0.05x = 0.00 + -8.4 Combine like terms: 0.00 + -8.4 = -8.4 -0.05x = -8.4 Divide each side by '-0.05'. x = 168 Simplifying x = 168
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