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Simplifying 12(x + 4) = (1 + 3x) Reorder the terms: 12(4 + x) = (1 + 3x) (4 * 12 + x * 12) = (1 + 3x) (48 + 12x) = (1 + 3x) Remove parenthesis around (1 + 3x) 48 + 12x = 1 + 3x Solving 48 + 12x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + 12x + -3x = 1 + 3x + -3x Combine like terms: 12x + -3x = 9x 48 + 9x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + 9x = 1 + 0 48 + 9x = 1 Add '-48' to each side of the equation. 48 + -48 + 9x = 1 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 1 + -48 9x = 1 + -48 Combine like terms: 1 + -48 = -47 9x = -47 Divide each side by '9'. x = -5.222222222 Simplifying x = -5.222222222
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