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Simplifying 2(4x + 7) + 3(2x + -4) = 0 Reorder the terms: 2(7 + 4x) + 3(2x + -4) = 0 (7 * 2 + 4x * 2) + 3(2x + -4) = 0 (14 + 8x) + 3(2x + -4) = 0 Reorder the terms: 14 + 8x + 3(-4 + 2x) = 0 14 + 8x + (-4 * 3 + 2x * 3) = 0 14 + 8x + (-12 + 6x) = 0 Reorder the terms: 14 + -12 + 8x + 6x = 0 Combine like terms: 14 + -12 = 2 2 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 2 + 14x = 0 Solving 2 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 0 + -2 14x = 0 + -2 Combine like terms: 0 + -2 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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