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Simplifying 3x + -18 + 27 + 10x + -11 = 25 + 4x + -7 + 12 + 3x Reorder the terms: -18 + 27 + -11 + 3x + 10x = 25 + 4x + -7 + 12 + 3x Combine like terms: -18 + 27 = 9 9 + -11 + 3x + 10x = 25 + 4x + -7 + 12 + 3x Combine like terms: 9 + -11 = -2 -2 + 3x + 10x = 25 + 4x + -7 + 12 + 3x Combine like terms: 3x + 10x = 13x -2 + 13x = 25 + 4x + -7 + 12 + 3x Reorder the terms: -2 + 13x = 25 + -7 + 12 + 4x + 3x Combine like terms: 25 + -7 = 18 -2 + 13x = 18 + 12 + 4x + 3x Combine like terms: 18 + 12 = 30 -2 + 13x = 30 + 4x + 3x Combine like terms: 4x + 3x = 7x -2 + 13x = 30 + 7x Solving -2 + 13x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 13x + -7x = 30 + 7x + -7x Combine like terms: 13x + -7x = 6x -2 + 6x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 6x = 30 + 0 -2 + 6x = 30 Add '2' to each side of the equation. -2 + 2 + 6x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 30 + 2 6x = 30 + 2 Combine like terms: 30 + 2 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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