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Simplifying 3(5x + -1) + -2(4x + 8) = 0 Reorder the terms: 3(-1 + 5x) + -2(4x + 8) = 0 (-1 * 3 + 5x * 3) + -2(4x + 8) = 0 (-3 + 15x) + -2(4x + 8) = 0 Reorder the terms: -3 + 15x + -2(8 + 4x) = 0 -3 + 15x + (8 * -2 + 4x * -2) = 0 -3 + 15x + (-16 + -8x) = 0 Reorder the terms: -3 + -16 + 15x + -8x = 0 Combine like terms: -3 + -16 = -19 -19 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -19 + 7x = 0 Solving -19 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 0 + 19 7x = 0 + 19 Combine like terms: 0 + 19 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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