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Simplifying 15x + 22(x + -2) = 178 Reorder the terms: 15x + 22(-2 + x) = 178 15x + (-2 * 22 + x * 22) = 178 15x + (-44 + 22x) = 178 Reorder the terms: -44 + 15x + 22x = 178 Combine like terms: 15x + 22x = 37x -44 + 37x = 178 Solving -44 + 37x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 37x = 178 + 44 Combine like terms: -44 + 44 = 0 0 + 37x = 178 + 44 37x = 178 + 44 Combine like terms: 178 + 44 = 222 37x = 222 Divide each side by '37'. x = 6 Simplifying x = 6
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