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Simplifying 15x + 22(x + -3) = 489 Reorder the terms: 15x + 22(-3 + x) = 489 15x + (-3 * 22 + x * 22) = 489 15x + (-66 + 22x) = 489 Reorder the terms: -66 + 15x + 22x = 489 Combine like terms: 15x + 22x = 37x -66 + 37x = 489 Solving -66 + 37x = 489 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 37x = 489 + 66 Combine like terms: -66 + 66 = 0 0 + 37x = 489 + 66 37x = 489 + 66 Combine like terms: 489 + 66 = 555 37x = 555 Divide each side by '37'. x = 15 Simplifying x = 15
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