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Simplifying 2(7x + -3) + -1(8x + 9) = 0 Reorder the terms: 2(-3 + 7x) + -1(8x + 9) = 0 (-3 * 2 + 7x * 2) + -1(8x + 9) = 0 (-6 + 14x) + -1(8x + 9) = 0 Reorder the terms: -6 + 14x + -1(9 + 8x) = 0 -6 + 14x + (9 * -1 + 8x * -1) = 0 -6 + 14x + (-9 + -8x) = 0 Reorder the terms: -6 + -9 + 14x + -8x = 0 Combine like terms: -6 + -9 = -15 -15 + 14x + -8x = 0 Combine like terms: 14x + -8x = 6x -15 + 6x = 0 Solving -15 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 0 + 15 6x = 0 + 15 Combine like terms: 0 + 15 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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