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Simplifying 19400 + 500x = 40400 + -1000x Solving 19400 + 500x = 40400 + -1000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1000x' to each side of the equation. 19400 + 500x + 1000x = 40400 + -1000x + 1000x Combine like terms: 500x + 1000x = 1500x 19400 + 1500x = 40400 + -1000x + 1000x Combine like terms: -1000x + 1000x = 0 19400 + 1500x = 40400 + 0 19400 + 1500x = 40400 Add '-19400' to each side of the equation. 19400 + -19400 + 1500x = 40400 + -19400 Combine like terms: 19400 + -19400 = 0 0 + 1500x = 40400 + -19400 1500x = 40400 + -19400 Combine like terms: 40400 + -19400 = 21000 1500x = 21000 Divide each side by '1500'. x = 14 Simplifying x = 14
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