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Simplifying 0.45x + 0.85x + 12 = 1.05x Reorder the terms: 12 + 0.45x + 0.85x = 1.05x Combine like terms: 0.45x + 0.85x = 1.3x 12 + 1.3x = 1.05x Solving 12 + 1.3x = 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 12 + 1.3x + -1.05x = 1.05x + -1.05x Combine like terms: 1.3x + -1.05x = 0.25x 12 + 0.25x = 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 12 + 0.25x = 0.00 Add '-12' to each side of the equation. 12 + -12 + 0.25x = 0.00 + -12 Combine like terms: 12 + -12 = 0 0 + 0.25x = 0.00 + -12 0.25x = 0.00 + -12 Combine like terms: 0.00 + -12 = -12 0.25x = -12 Divide each side by '0.25'. x = -48 Simplifying x = -48
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