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Simplifying 3(5x + -2) = 2(6x + 5) Reorder the terms: 3(-2 + 5x) = 2(6x + 5) (-2 * 3 + 5x * 3) = 2(6x + 5) (-6 + 15x) = 2(6x + 5) Reorder the terms: -6 + 15x = 2(5 + 6x) -6 + 15x = (5 * 2 + 6x * 2) -6 + 15x = (10 + 12x) Solving -6 + 15x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 15x + -12x = 10 + 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = 10 + 0 -6 + 3x = 10 Add '6' to each side of the equation. -6 + 6 + 3x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 10 + 6 3x = 10 + 6 Combine like terms: 10 + 6 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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