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Simplifying -8(3x + 7) + 6(x + 5) + -9 = 0 Reorder the terms: -8(7 + 3x) + 6(x + 5) + -9 = 0 (7 * -8 + 3x * -8) + 6(x + 5) + -9 = 0 (-56 + -24x) + 6(x + 5) + -9 = 0 Reorder the terms: -56 + -24x + 6(5 + x) + -9 = 0 -56 + -24x + (5 * 6 + x * 6) + -9 = 0 -56 + -24x + (30 + 6x) + -9 = 0 Reorder the terms: -56 + 30 + -9 + -24x + 6x = 0 Combine like terms: -56 + 30 = -26 -26 + -9 + -24x + 6x = 0 Combine like terms: -26 + -9 = -35 -35 + -24x + 6x = 0 Combine like terms: -24x + 6x = -18x -35 + -18x = 0 Solving -35 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -18x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -18x = 0 + 35 -18x = 0 + 35 Combine like terms: 0 + 35 = 35 -18x = 35 Divide each side by '-18'. x = -1.944444444 Simplifying x = -1.944444444
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