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Simplifying 3.5(6x + 5) + (-2)(3.5x + 1.5) = 0 Reorder the terms: 3.5(5 + 6x) + (-2)(3.5x + 1.5) = 0 (5 * 3.5 + 6x * 3.5) + (-2)(3.5x + 1.5) = 0 (17.5 + 21x) + (-2)(3.5x + 1.5) = 0 Reorder the terms: 17.5 + 21x + -2(1.5 + 3.5x) = 0 17.5 + 21x + (1.5 * -2 + 3.5x * -2) = 0 17.5 + 21x + (-3 + -7x) = 0 Reorder the terms: 17.5 + -3 + 21x + -7x = 0 Combine like terms: 17.5 + -3 = 14.5 14.5 + 21x + -7x = 0 Combine like terms: 21x + -7x = 14x 14.5 + 14x = 0 Solving 14.5 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + 14x = 0 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 14x = 0 + -14.5 14x = 0 + -14.5 Combine like terms: 0 + -14.5 = -14.5 14x = -14.5 Divide each side by '14'. x = -1.035714286 Simplifying x = -1.035714286
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