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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 = 55 -33x = 55 Divide each side by '-33'. x = -1.666666667 Simplifying x = -1.666666667
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