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Simplifying 9x + 21 = 12x + 42 Reorder the terms: 21 + 9x = 12x + 42 Reorder the terms: 21 + 9x = 42 + 12x Solving 21 + 9x = 42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 9x + -12x = 42 + 12x + -12x Combine like terms: 9x + -12x = -3x 21 + -3x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -3x = 42 + 0 21 + -3x = 42 Add '-21' to each side of the equation. 21 + -21 + -3x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 42 + -21 -3x = 42 + -21 Combine like terms: 42 + -21 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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