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Simplifying 12(x + 4) = 21(x + 1) Reorder the terms: 12(4 + x) = 21(x + 1) (4 * 12 + x * 12) = 21(x + 1) (48 + 12x) = 21(x + 1) Reorder the terms: 48 + 12x = 21(1 + x) 48 + 12x = (1 * 21 + x * 21) 48 + 12x = (21 + 21x) Solving 48 + 12x = 21 + 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. 48 + 12x + -21x = 21 + 21x + -21x Combine like terms: 12x + -21x = -9x 48 + -9x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 48 + -9x = 21 + 0 48 + -9x = 21 Add '-48' to each side of the equation. 48 + -48 + -9x = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -9x = 21 + -48 -9x = 21 + -48 Combine like terms: 21 + -48 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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