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Simplifying -21(x + -84) = x + 47 Reorder the terms: -21(-84 + x) = x + 47 (-84 * -21 + x * -21) = x + 47 (1764 + -21x) = x + 47 Reorder the terms: 1764 + -21x = 47 + x Solving 1764 + -21x = 47 + 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. 1764 + -21x + -1x = 47 + x + -1x Combine like terms: -21x + -1x = -22x 1764 + -22x = 47 + x + -1x Combine like terms: x + -1x = 0 1764 + -22x = 47 + 0 1764 + -22x = 47 Add '-1764' to each side of the equation. 1764 + -1764 + -22x = 47 + -1764 Combine like terms: 1764 + -1764 = 0 0 + -22x = 47 + -1764 -22x = 47 + -1764 Combine like terms: 47 + -1764 = -1717 -22x = -1717 Divide each side by '-22'. x = 78.04545455 Simplifying x = 78.04545455
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