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Simplifying 5(3x + -2) = 2(3x + 5) Reorder the terms: 5(-2 + 3x) = 2(3x + 5) (-2 * 5 + 3x * 5) = 2(3x + 5) (-10 + 15x) = 2(3x + 5) Reorder the terms: -10 + 15x = 2(5 + 3x) -10 + 15x = (5 * 2 + 3x * 2) -10 + 15x = (10 + 6x) Solving -10 + 15x = 10 + 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. -10 + 15x + -6x = 10 + 6x + -6x Combine like terms: 15x + -6x = 9x -10 + 9x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 9x = 10 + 0 -10 + 9x = 10 Add '10' to each side of the equation. -10 + 10 + 9x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 10 + 10 9x = 10 + 10 Combine like terms: 10 + 10 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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