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Simplifying -3(x + 11) + 270 = 17 + 22 Reorder the terms: -3(11 + x) + 270 = 17 + 22 (11 * -3 + x * -3) + 270 = 17 + 22 (-33 + -3x) + 270 = 17 + 22 Reorder the terms: -33 + 270 + -3x = 17 + 22 Combine like terms: -33 + 270 = 237 237 + -3x = 17 + 22 Combine like terms: 17 + 22 = 39 237 + -3x = 39 Solving 237 + -3x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-237' to each side of the equation. 237 + -237 + -3x = 39 + -237 Combine like terms: 237 + -237 = 0 0 + -3x = 39 + -237 -3x = 39 + -237 Combine like terms: 39 + -237 = -198 -3x = -198 Divide each side by '-3'. x = 66 Simplifying x = 66
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