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Simplifying 6(x + -4) + 4(2x + 7) = 0 Reorder the terms: 6(-4 + x) + 4(2x + 7) = 0 (-4 * 6 + x * 6) + 4(2x + 7) = 0 (-24 + 6x) + 4(2x + 7) = 0 Reorder the terms: -24 + 6x + 4(7 + 2x) = 0 -24 + 6x + (7 * 4 + 2x * 4) = 0 -24 + 6x + (28 + 8x) = 0 Reorder the terms: -24 + 28 + 6x + 8x = 0 Combine like terms: -24 + 28 = 4 4 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 4 + 14x = 0 Solving 4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 0 + -4 14x = 0 + -4 Combine like terms: 0 + -4 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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