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Simplifying 278 + -5x = 40x + 23 Reorder the terms: 278 + -5x = 23 + 40x Solving 278 + -5x = 23 + 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. 278 + -5x + -40x = 23 + 40x + -40x Combine like terms: -5x + -40x = -45x 278 + -45x = 23 + 40x + -40x Combine like terms: 40x + -40x = 0 278 + -45x = 23 + 0 278 + -45x = 23 Add '-278' to each side of the equation. 278 + -278 + -45x = 23 + -278 Combine like terms: 278 + -278 = 0 0 + -45x = 23 + -278 -45x = 23 + -278 Combine like terms: 23 + -278 = -255 -45x = -255 Divide each side by '-45'. x = 5.666666667 Simplifying x = 5.666666667
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