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Simplifying 5(3x + -2) + 6x = 11x + 10 + 5 Reorder the terms: 5(-2 + 3x) + 6x = 11x + 10 + 5 (-2 * 5 + 3x * 5) + 6x = 11x + 10 + 5 (-10 + 15x) + 6x = 11x + 10 + 5 Combine like terms: 15x + 6x = 21x -10 + 21x = 11x + 10 + 5 Reorder the terms: -10 + 21x = 10 + 5 + 11x Combine like terms: 10 + 5 = 15 -10 + 21x = 15 + 11x Solving -10 + 21x = 15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 21x + -11x = 15 + 11x + -11x Combine like terms: 21x + -11x = 10x -10 + 10x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + 10x = 15 + 0 -10 + 10x = 15 Add '10' to each side of the equation. -10 + 10 + 10x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 15 + 10 10x = 15 + 10 Combine like terms: 15 + 10 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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