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Simplifying 6(2x + -3) + 5(x + -1) = 0 Reorder the terms: 6(-3 + 2x) + 5(x + -1) = 0 (-3 * 6 + 2x * 6) + 5(x + -1) = 0 (-18 + 12x) + 5(x + -1) = 0 Reorder the terms: -18 + 12x + 5(-1 + x) = 0 -18 + 12x + (-1 * 5 + x * 5) = 0 -18 + 12x + (-5 + 5x) = 0 Reorder the terms: -18 + -5 + 12x + 5x = 0 Combine like terms: -18 + -5 = -23 -23 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -23 + 17x = 0 Solving -23 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 17x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 17x = 0 + 23 17x = 0 + 23 Combine like terms: 0 + 23 = 23 17x = 23 Divide each side by '17'. x = 1.352941176 Simplifying x = 1.352941176
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