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Simplifying 12(x + 7) = 3(x + -11) Reorder the terms: 12(7 + x) = 3(x + -11) (7 * 12 + x * 12) = 3(x + -11) (84 + 12x) = 3(x + -11) Reorder the terms: 84 + 12x = 3(-11 + x) 84 + 12x = (-11 * 3 + x * 3) 84 + 12x = (-33 + 3x) Solving 84 + 12x = -33 + 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. 84 + 12x + -3x = -33 + 3x + -3x Combine like terms: 12x + -3x = 9x 84 + 9x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 84 + 9x = -33 + 0 84 + 9x = -33 Add '-84' to each side of the equation. 84 + -84 + 9x = -33 + -84 Combine like terms: 84 + -84 = 0 0 + 9x = -33 + -84 9x = -33 + -84 Combine like terms: -33 + -84 = -117 9x = -117 Divide each side by '9'. x = -13 Simplifying x = -13
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