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Simplifying 10x + 22(x + -5) = 274 Reorder the terms: 10x + 22(-5 + x) = 274 10x + (-5 * 22 + x * 22) = 274 10x + (-110 + 22x) = 274 Reorder the terms: -110 + 10x + 22x = 274 Combine like terms: 10x + 22x = 32x -110 + 32x = 274 Solving -110 + 32x = 274 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + 32x = 274 + 110 Combine like terms: -110 + 110 = 0 0 + 32x = 274 + 110 32x = 274 + 110 Combine like terms: 274 + 110 = 384 32x = 384 Divide each side by '32'. x = 12 Simplifying x = 12
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