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Simplifying 2(x + 6) + 7(3x + -4) = 0 Reorder the terms: 2(6 + x) + 7(3x + -4) = 0 (6 * 2 + x * 2) + 7(3x + -4) = 0 (12 + 2x) + 7(3x + -4) = 0 Reorder the terms: 12 + 2x + 7(-4 + 3x) = 0 12 + 2x + (-4 * 7 + 3x * 7) = 0 12 + 2x + (-28 + 21x) = 0 Reorder the terms: 12 + -28 + 2x + 21x = 0 Combine like terms: 12 + -28 = -16 -16 + 2x + 21x = 0 Combine like terms: 2x + 21x = 23x -16 + 23x = 0 Solving -16 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 23x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 23x = 0 + 16 23x = 0 + 16 Combine like terms: 0 + 16 = 16 23x = 16 Divide each side by '23'. x = 0.6956521739 Simplifying x = 0.6956521739
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