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Simplifying 3(x + 1) = 12x + 21 Reorder the terms: 3(1 + x) = 12x + 21 (1 * 3 + x * 3) = 12x + 21 (3 + 3x) = 12x + 21 Reorder the terms: 3 + 3x = 21 + 12x Solving 3 + 3x = 21 + 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. 3 + 3x + -12x = 21 + 12x + -12x Combine like terms: 3x + -12x = -9x 3 + -9x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -9x = 21 + 0 3 + -9x = 21 Add '-3' to each side of the equation. 3 + -3 + -9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 21 + -3 -9x = 21 + -3 Combine like terms: 21 + -3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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