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Simplifying 3(2x + -4) + 4(2x + 7) = 0 Reorder the terms: 3(-4 + 2x) + 4(2x + 7) = 0 (-4 * 3 + 2x * 3) + 4(2x + 7) = 0 (-12 + 6x) + 4(2x + 7) = 0 Reorder the terms: -12 + 6x + 4(7 + 2x) = 0 -12 + 6x + (7 * 4 + 2x * 4) = 0 -12 + 6x + (28 + 8x) = 0 Reorder the terms: -12 + 28 + 6x + 8x = 0 Combine like terms: -12 + 28 = 16 16 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 16 + 14x = 0 Solving 16 + 14x = 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 + 14x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 0 + -16 14x = 0 + -16 Combine like terms: 0 + -16 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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