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Simplifying 12(x + 1) = 21(x + 4) Reorder the terms: 12(1 + x) = 21(x + 4) (1 * 12 + x * 12) = 21(x + 4) (12 + 12x) = 21(x + 4) Reorder the terms: 12 + 12x = 21(4 + x) 12 + 12x = (4 * 21 + x * 21) 12 + 12x = (84 + 21x) Solving 12 + 12x = 84 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 12 + 12x + -21x = 84 + 21x + -21x Combine like terms: 12x + -21x = -9x 12 + -9x = 84 + 21x + -21x Combine like terms: 21x + -21x = 0 12 + -9x = 84 + 0 12 + -9x = 84 Add '-12' to each side of the equation. 12 + -12 + -9x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 84 + -12 -9x = 84 + -12 Combine like terms: 84 + -12 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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