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Simplifying -3(6x + 5) = 2(4x + -3) Reorder the terms: -3(5 + 6x) = 2(4x + -3) (5 * -3 + 6x * -3) = 2(4x + -3) (-15 + -18x) = 2(4x + -3) Reorder the terms: -15 + -18x = 2(-3 + 4x) -15 + -18x = (-3 * 2 + 4x * 2) -15 + -18x = (-6 + 8x) Solving -15 + -18x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + -18x + -8x = -6 + 8x + -8x Combine like terms: -18x + -8x = -26x -15 + -26x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -26x = -6 + 0 -15 + -26x = -6 Add '15' to each side of the equation. -15 + 15 + -26x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -26x = -6 + 15 -26x = -6 + 15 Combine like terms: -6 + 15 = 9 -26x = 9 Divide each side by '-26'. x = -0.3461538462 Simplifying x = -0.3461538462
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