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Simplifying 2(3 + -5x) = 3(2x + 3) (3 * 2 + -5x * 2) = 3(2x + 3) (6 + -10x) = 3(2x + 3) Reorder the terms: 6 + -10x = 3(3 + 2x) 6 + -10x = (3 * 3 + 2x * 3) 6 + -10x = (9 + 6x) Solving 6 + -10x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -10x + -6x = 9 + 6x + -6x Combine like terms: -10x + -6x = -16x 6 + -16x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -16x = 9 + 0 6 + -16x = 9 Add '-6' to each side of the equation. 6 + -6 + -16x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 9 + -6 -16x = 9 + -6 Combine like terms: 9 + -6 = 3 -16x = 3 Divide each side by '-16'. x = -0.1875 Simplifying x = -0.1875
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