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Simplifying 2(x + 6) = 9 + -4(3x + 4) Reorder the terms: 2(6 + x) = 9 + -4(3x + 4) (6 * 2 + x * 2) = 9 + -4(3x + 4) (12 + 2x) = 9 + -4(3x + 4) Reorder the terms: 12 + 2x = 9 + -4(4 + 3x) 12 + 2x = 9 + (4 * -4 + 3x * -4) 12 + 2x = 9 + (-16 + -12x) Combine like terms: 9 + -16 = -7 12 + 2x = -7 + -12x Solving 12 + 2x = -7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 2x + 12x = -7 + -12x + 12x Combine like terms: 2x + 12x = 14x 12 + 14x = -7 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 14x = -7 + 0 12 + 14x = -7 Add '-12' to each side of the equation. 12 + -12 + 14x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -7 + -12 14x = -7 + -12 Combine like terms: -7 + -12 = -19 14x = -19 Divide each side by '14'. x = -1.357142857 Simplifying x = -1.357142857
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