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Simplifying 2(7x + -4) + 7(4x + -2) + -9(6x + -3) = 0 Reorder the terms: 2(-4 + 7x) + 7(4x + -2) + -9(6x + -3) = 0 (-4 * 2 + 7x * 2) + 7(4x + -2) + -9(6x + -3) = 0 (-8 + 14x) + 7(4x + -2) + -9(6x + -3) = 0 Reorder the terms: -8 + 14x + 7(-2 + 4x) + -9(6x + -3) = 0 -8 + 14x + (-2 * 7 + 4x * 7) + -9(6x + -3) = 0 -8 + 14x + (-14 + 28x) + -9(6x + -3) = 0 Reorder the terms: -8 + 14x + -14 + 28x + -9(-3 + 6x) = 0 -8 + 14x + -14 + 28x + (-3 * -9 + 6x * -9) = 0 -8 + 14x + -14 + 28x + (27 + -54x) = 0 Reorder the terms: -8 + -14 + 27 + 14x + 28x + -54x = 0 Combine like terms: -8 + -14 = -22 -22 + 27 + 14x + 28x + -54x = 0 Combine like terms: -22 + 27 = 5 5 + 14x + 28x + -54x = 0 Combine like terms: 14x + 28x = 42x 5 + 42x + -54x = 0 Combine like terms: 42x + -54x = -12x 5 + -12x = 0 Solving 5 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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