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Simplifying 3(5x + -6) + 7(8x + -6) = 0 Reorder the terms: 3(-6 + 5x) + 7(8x + -6) = 0 (-6 * 3 + 5x * 3) + 7(8x + -6) = 0 (-18 + 15x) + 7(8x + -6) = 0 Reorder the terms: -18 + 15x + 7(-6 + 8x) = 0 -18 + 15x + (-6 * 7 + 8x * 7) = 0 -18 + 15x + (-42 + 56x) = 0 Reorder the terms: -18 + -42 + 15x + 56x = 0 Combine like terms: -18 + -42 = -60 -60 + 15x + 56x = 0 Combine like terms: 15x + 56x = 71x -60 + 71x = 0 Solving -60 + 71x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 71x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 71x = 0 + 60 71x = 0 + 60 Combine like terms: 0 + 60 = 60 71x = 60 Divide each side by '71'. x = 0.8450704225 Simplifying x = 0.8450704225
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