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Simplifying 5(3x + -2) = 2(6x + 3) Reorder the terms: 5(-2 + 3x) = 2(6x + 3) (-2 * 5 + 3x * 5) = 2(6x + 3) (-10 + 15x) = 2(6x + 3) Reorder the terms: -10 + 15x = 2(3 + 6x) -10 + 15x = (3 * 2 + 6x * 2) -10 + 15x = (6 + 12x) Solving -10 + 15x = 6 + 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. -10 + 15x + -12x = 6 + 12x + -12x Combine like terms: 15x + -12x = 3x -10 + 3x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 3x = 6 + 0 -10 + 3x = 6 Add '10' to each side of the equation. -10 + 10 + 3x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 6 + 10 3x = 6 + 10 Combine like terms: 6 + 10 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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