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Simplifying 4(5x + 7) + 3(2x + -4) = 0 Reorder the terms: 4(7 + 5x) + 3(2x + -4) = 0 (7 * 4 + 5x * 4) + 3(2x + -4) = 0 (28 + 20x) + 3(2x + -4) = 0 Reorder the terms: 28 + 20x + 3(-4 + 2x) = 0 28 + 20x + (-4 * 3 + 2x * 3) = 0 28 + 20x + (-12 + 6x) = 0 Reorder the terms: 28 + -12 + 20x + 6x = 0 Combine like terms: 28 + -12 = 16 16 + 20x + 6x = 0 Combine like terms: 20x + 6x = 26x 16 + 26x = 0 Solving 16 + 26x = 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 + 26x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 26x = 0 + -16 26x = 0 + -16 Combine like terms: 0 + -16 = -16 26x = -16 Divide each side by '26'. x = -0.6153846154 Simplifying x = -0.6153846154
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