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Simplifying 3(x + 6) = 12 + -4(x + 7) Reorder the terms: 3(6 + x) = 12 + -4(x + 7) (6 * 3 + x * 3) = 12 + -4(x + 7) (18 + 3x) = 12 + -4(x + 7) Reorder the terms: 18 + 3x = 12 + -4(7 + x) 18 + 3x = 12 + (7 * -4 + x * -4) 18 + 3x = 12 + (-28 + -4x) Combine like terms: 12 + -28 = -16 18 + 3x = -16 + -4x Solving 18 + 3x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + 3x + 4x = -16 + -4x + 4x Combine like terms: 3x + 4x = 7x 18 + 7x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 7x = -16 + 0 18 + 7x = -16 Add '-18' to each side of the equation. 18 + -18 + 7x = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -16 + -18 7x = -16 + -18 Combine like terms: -16 + -18 = -34 7x = -34 Divide each side by '7'. x = -4.857142857 Simplifying x = -4.857142857
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