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Simplifying X + 3x + -2 + 3x = 11 + 7(x + 2) Reorder the terms: -2 + X + 3x + 3x = 11 + 7(x + 2) Combine like terms: 3x + 3x = 6x -2 + X + 6x = 11 + 7(x + 2) Reorder the terms: -2 + X + 6x = 11 + 7(2 + x) -2 + X + 6x = 11 + (2 * 7 + x * 7) -2 + X + 6x = 11 + (14 + 7x) Combine like terms: 11 + 14 = 25 -2 + X + 6x = 25 + 7x Solving -2 + X + 6x = 25 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + X + 2 + 6x = 25 + 2 + 7x Reorder the terms: -2 + 2 + X + 6x = 25 + 2 + 7x Combine like terms: -2 + 2 = 0 0 + X + 6x = 25 + 2 + 7x X + 6x = 25 + 2 + 7x Combine like terms: 25 + 2 = 27 X + 6x = 27 + 7x Add '-6x' to each side of the equation. X + 6x + -6x = 27 + 7x + -6x Combine like terms: 6x + -6x = 0 X + 0 = 27 + 7x + -6x X = 27 + 7x + -6x Combine like terms: 7x + -6x = 1x X = 27 + 1x Simplifying X = 27 + 1x
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