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Simplifying 6(x + 5) + 8(x + -3) = 0 Reorder the terms: 6(5 + x) + 8(x + -3) = 0 (5 * 6 + x * 6) + 8(x + -3) = 0 (30 + 6x) + 8(x + -3) = 0 Reorder the terms: 30 + 6x + 8(-3 + x) = 0 30 + 6x + (-3 * 8 + x * 8) = 0 30 + 6x + (-24 + 8x) = 0 Reorder the terms: 30 + -24 + 6x + 8x = 0 Combine like terms: 30 + -24 = 6 6 + 6x + 8x = 0 Combine like terms: 6x + 8x = 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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