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Simplifying 12(x + 6) = 3(x + -49) Reorder the terms: 12(6 + x) = 3(x + -49) (6 * 12 + x * 12) = 3(x + -49) (72 + 12x) = 3(x + -49) Reorder the terms: 72 + 12x = 3(-49 + x) 72 + 12x = (-49 * 3 + x * 3) 72 + 12x = (-147 + 3x) Solving 72 + 12x = -147 + 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. 72 + 12x + -3x = -147 + 3x + -3x Combine like terms: 12x + -3x = 9x 72 + 9x = -147 + 3x + -3x Combine like terms: 3x + -3x = 0 72 + 9x = -147 + 0 72 + 9x = -147 Add '-72' to each side of the equation. 72 + -72 + 9x = -147 + -72 Combine like terms: 72 + -72 = 0 0 + 9x = -147 + -72 9x = -147 + -72 Combine like terms: -147 + -72 = -219 9x = -219 Divide each side by '9'. x = -24.33333333 Simplifying x = -24.33333333
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