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Simplifying 4(2x + 4) + 2(3x + -5) = 0 Reorder the terms: 4(4 + 2x) + 2(3x + -5) = 0 (4 * 4 + 2x * 4) + 2(3x + -5) = 0 (16 + 8x) + 2(3x + -5) = 0 Reorder the terms: 16 + 8x + 2(-5 + 3x) = 0 16 + 8x + (-5 * 2 + 3x * 2) = 0 16 + 8x + (-10 + 6x) = 0 Reorder the terms: 16 + -10 + 8x + 6x = 0 Combine like terms: 16 + -10 = 6 6 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 6 + 14x = 0 Solving 6 + 14x = 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 + 14x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 0 + -6 14x = 0 + -6 Combine like terms: 0 + -6 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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