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Simplifying 2(6x + -9) = 3(x + 5) Reorder the terms: 2(-9 + 6x) = 3(x + 5) (-9 * 2 + 6x * 2) = 3(x + 5) (-18 + 12x) = 3(x + 5) Reorder the terms: -18 + 12x = 3(5 + x) -18 + 12x = (5 * 3 + x * 3) -18 + 12x = (15 + 3x) Solving -18 + 12x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -18 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 9x = 15 + 0 -18 + 9x = 15 Add '18' to each side of the equation. -18 + 18 + 9x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 15 + 18 9x = 15 + 18 Combine like terms: 15 + 18 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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