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Simplifying 5x + 2(3x + -5) = 6x + 5 Reorder the terms: 5x + 2(-5 + 3x) = 6x + 5 5x + (-5 * 2 + 3x * 2) = 6x + 5 5x + (-10 + 6x) = 6x + 5 Reorder the terms: -10 + 5x + 6x = 6x + 5 Combine like terms: 5x + 6x = 11x -10 + 11x = 6x + 5 Reorder the terms: -10 + 11x = 5 + 6x Solving -10 + 11x = 5 + 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 + 11x + -6x = 5 + 6x + -6x Combine like terms: 11x + -6x = 5x -10 + 5x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 5x = 5 + 0 -10 + 5x = 5 Add '10' to each side of the equation. -10 + 10 + 5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 5 + 10 5x = 5 + 10 Combine like terms: 5 + 10 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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