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Simplifying (3x + 12)(4) = (x + -1) Reorder the terms: (12 + 3x)(4) = (x + -1) Reorder the terms for easier multiplication: 4(12 + 3x) = (x + -1) (12 * 4 + 3x * 4) = (x + -1) (48 + 12x) = (x + -1) Reorder the terms: 48 + 12x = (-1 + x) Remove parenthesis around (-1 + x) 48 + 12x = -1 + x Solving 48 + 12x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 48 + 12x + -1x = -1 + x + -1x Combine like terms: 12x + -1x = 11x 48 + 11x = -1 + x + -1x Combine like terms: x + -1x = 0 48 + 11x = -1 + 0 48 + 11x = -1 Add '-48' to each side of the equation. 48 + -48 + 11x = -1 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = -1 + -48 11x = -1 + -48 Combine like terms: -1 + -48 = -49 11x = -49 Divide each side by '11'. x = -4.454545455 Simplifying x = -4.454545455
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