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Simplifying -178 + 21x = 282 + x Solving -178 + 21x = 282 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -178 + 21x + -1x = 282 + x + -1x Combine like terms: 21x + -1x = 20x -178 + 20x = 282 + x + -1x Combine like terms: x + -1x = 0 -178 + 20x = 282 + 0 -178 + 20x = 282 Add '178' to each side of the equation. -178 + 178 + 20x = 282 + 178 Combine like terms: -178 + 178 = 0 0 + 20x = 282 + 178 20x = 282 + 178 Combine like terms: 282 + 178 = 460 20x = 460 Divide each side by '20'. x = 23 Simplifying x = 23
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