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Simplifying 3x + -18 + 27 + 10x + -11 = 25 + 4x + -7x + 12 + 3x Reorder the terms: -18 + 27 + -11 + 3x + 10x = 25 + 4x + -7x + 12 + 3x Combine like terms: -18 + 27 = 9 9 + -11 + 3x + 10x = 25 + 4x + -7x + 12 + 3x Combine like terms: 9 + -11 = -2 -2 + 3x + 10x = 25 + 4x + -7x + 12 + 3x Combine like terms: 3x + 10x = 13x -2 + 13x = 25 + 4x + -7x + 12 + 3x Reorder the terms: -2 + 13x = 25 + 12 + 4x + -7x + 3x Combine like terms: 25 + 12 = 37 -2 + 13x = 37 + 4x + -7x + 3x Combine like terms: 4x + -7x = -3x -2 + 13x = 37 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 13x = 37 + 0 -2 + 13x = 37 Solving -2 + 13x = 37 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 + 2 + 13x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 37 + 2 13x = 37 + 2 Combine like terms: 37 + 2 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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