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Simplifying 12x + 40 = 45x + 15 Reorder the terms: 40 + 12x = 45x + 15 Reorder the terms: 40 + 12x = 15 + 45x Solving 40 + 12x = 15 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 40 + 12x + -45x = 15 + 45x + -45x Combine like terms: 12x + -45x = -33x 40 + -33x = 15 + 45x + -45x Combine like terms: 45x + -45x = 0 40 + -33x = 15 + 0 40 + -33x = 15 Add '-40' to each side of the equation. 40 + -40 + -33x = 15 + -40 Combine like terms: 40 + -40 = 0 0 + -33x = 15 + -40 -33x = 15 + -40 Combine like terms: 15 + -40 = -25 -33x = -25 Divide each side by '-33'. x = 0.7575757576 Simplifying x = 0.7575757576
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