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Simplifying 2(7 + -8x) + -4(3x + 2) = 0 (7 * 2 + -8x * 2) + -4(3x + 2) = 0 (14 + -16x) + -4(3x + 2) = 0 Reorder the terms: 14 + -16x + -4(2 + 3x) = 0 14 + -16x + (2 * -4 + 3x * -4) = 0 14 + -16x + (-8 + -12x) = 0 Reorder the terms: 14 + -8 + -16x + -12x = 0 Combine like terms: 14 + -8 = 6 6 + -16x + -12x = 0 Combine like terms: -16x + -12x = -28x 6 + -28x = 0 Solving 6 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -28x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -28x = 0 + -6 -28x = 0 + -6 Combine like terms: 0 + -6 = -6 -28x = -6 Divide each side by '-28'. x = 0.2142857143 Simplifying x = 0.2142857143
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