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Simplifying X + -5(x + 2) = x + 3(3 + 2x) Reorder the terms: X + -5(2 + x) = x + 3(3 + 2x) X + (2 * -5 + x * -5) = x + 3(3 + 2x) X + (-10 + -5x) = x + 3(3 + 2x) Reorder the terms: -10 + X + -5x = x + 3(3 + 2x) -10 + X + -5x = x + (3 * 3 + 2x * 3) -10 + X + -5x = x + (9 + 6x) Reorder the terms: -10 + X + -5x = 9 + x + 6x Combine like terms: x + 6x = 7x -10 + X + -5x = 9 + 7x Solving -10 + X + -5x = 9 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + X + 10 + -5x = 9 + 10 + 7x Reorder the terms: -10 + 10 + X + -5x = 9 + 10 + 7x Combine like terms: -10 + 10 = 0 0 + X + -5x = 9 + 10 + 7x X + -5x = 9 + 10 + 7x Combine like terms: 9 + 10 = 19 X + -5x = 19 + 7x Add '5x' to each side of the equation. X + -5x + 5x = 19 + 7x + 5x Combine like terms: -5x + 5x = 0 X + 0 = 19 + 7x + 5x X = 19 + 7x + 5x Combine like terms: 7x + 5x = 12x X = 19 + 12x Simplifying X = 19 + 12x
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