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Simplifying x * 12 + 22 = x * 3 + 283 Reorder the terms for easier multiplication: 12x + 22 = x * 3 + 283 Reorder the terms: 22 + 12x = x * 3 + 283 Reorder the terms for easier multiplication: 22 + 12x = 3x + 283 Reorder the terms: 22 + 12x = 283 + 3x Solving 22 + 12x = 283 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + 12x + -3x = 283 + 3x + -3x Combine like terms: 12x + -3x = 9x 22 + 9x = 283 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 9x = 283 + 0 22 + 9x = 283 Add '-22' to each side of the equation. 22 + -22 + 9x = 283 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 283 + -22 9x = 283 + -22 Combine like terms: 283 + -22 = 261 9x = 261 Divide each side by '9'. x = 29 Simplifying x = 29
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