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Simplifying 12x + 11 = 40 + -40x + 45 Reorder the terms: 11 + 12x = 40 + -40x + 45 Reorder the terms: 11 + 12x = 40 + 45 + -40x Combine like terms: 40 + 45 = 85 11 + 12x = 85 + -40x Solving 11 + 12x = 85 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 11 + 12x + 40x = 85 + -40x + 40x Combine like terms: 12x + 40x = 52x 11 + 52x = 85 + -40x + 40x Combine like terms: -40x + 40x = 0 11 + 52x = 85 + 0 11 + 52x = 85 Add '-11' to each side of the equation. 11 + -11 + 52x = 85 + -11 Combine like terms: 11 + -11 = 0 0 + 52x = 85 + -11 52x = 85 + -11 Combine like terms: 85 + -11 = 74 52x = 74 Divide each side by '52'. x = 1.423076923 Simplifying x = 1.423076923
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