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Simplifying 5x + 812 = 2394 + -2x Reorder the terms: 812 + 5x = 2394 + -2x Solving 812 + 5x = 2394 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 812 + 5x + 2x = 2394 + -2x + 2x Combine like terms: 5x + 2x = 7x 812 + 7x = 2394 + -2x + 2x Combine like terms: -2x + 2x = 0 812 + 7x = 2394 + 0 812 + 7x = 2394 Add '-812' to each side of the equation. 812 + -812 + 7x = 2394 + -812 Combine like terms: 812 + -812 = 0 0 + 7x = 2394 + -812 7x = 2394 + -812 Combine like terms: 2394 + -812 = 1582 7x = 1582 Divide each side by '7'. x = 226 Simplifying x = 226
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