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Simplifying 15x + 22(x + -4) = 282 Reorder the terms: 15x + 22(-4 + x) = 282 15x + (-4 * 22 + x * 22) = 282 15x + (-88 + 22x) = 282 Reorder the terms: -88 + 15x + 22x = 282 Combine like terms: 15x + 22x = 37x -88 + 37x = 282 Solving -88 + 37x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 37x = 282 + 88 Combine like terms: -88 + 88 = 0 0 + 37x = 282 + 88 37x = 282 + 88 Combine like terms: 282 + 88 = 370 37x = 370 Divide each side by '37'. x = 10 Simplifying x = 10
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