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Simplifying 400 + 15x = 1000 + 40x Solving 400 + 15x = 1000 + 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. 400 + 15x + -40x = 1000 + 40x + -40x Combine like terms: 15x + -40x = -25x 400 + -25x = 1000 + 40x + -40x Combine like terms: 40x + -40x = 0 400 + -25x = 1000 + 0 400 + -25x = 1000 Add '-400' to each side of the equation. 400 + -400 + -25x = 1000 + -400 Combine like terms: 400 + -400 = 0 0 + -25x = 1000 + -400 -25x = 1000 + -400 Combine like terms: 1000 + -400 = 600 -25x = 600 Divide each side by '-25'. x = -24 Simplifying x = -24
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