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Simplifying 7(3x + 4) + 5(4x + -7) = 0 Reorder the terms: 7(4 + 3x) + 5(4x + -7) = 0 (4 * 7 + 3x * 7) + 5(4x + -7) = 0 (28 + 21x) + 5(4x + -7) = 0 Reorder the terms: 28 + 21x + 5(-7 + 4x) = 0 28 + 21x + (-7 * 5 + 4x * 5) = 0 28 + 21x + (-35 + 20x) = 0 Reorder the terms: 28 + -35 + 21x + 20x = 0 Combine like terms: 28 + -35 = -7 -7 + 21x + 20x = 0 Combine like terms: 21x + 20x = 41x -7 + 41x = 0 Solving -7 + 41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 41x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 41x = 0 + 7 41x = 0 + 7 Combine like terms: 0 + 7 = 7 41x = 7 Divide each side by '41'. x = 0.1707317073 Simplifying x = 0.1707317073
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