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Simplifying 3x + 18 + 27 + 10x + -11 = 25 + 4x + -7x + 12 + 13x Reorder the terms: 18 + 27 + -11 + 3x + 10x = 25 + 4x + -7x + 12 + 13x Combine like terms: 18 + 27 = 45 45 + -11 + 3x + 10x = 25 + 4x + -7x + 12 + 13x Combine like terms: 45 + -11 = 34 34 + 3x + 10x = 25 + 4x + -7x + 12 + 13x Combine like terms: 3x + 10x = 13x 34 + 13x = 25 + 4x + -7x + 12 + 13x Reorder the terms: 34 + 13x = 25 + 12 + 4x + -7x + 13x Combine like terms: 25 + 12 = 37 34 + 13x = 37 + 4x + -7x + 13x Combine like terms: 4x + -7x = -3x 34 + 13x = 37 + -3x + 13x Combine like terms: -3x + 13x = 10x 34 + 13x = 37 + 10x Solving 34 + 13x = 37 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 13x + -10x = 37 + 10x + -10x Combine like terms: 13x + -10x = 3x 34 + 3x = 37 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + 3x = 37 + 0 34 + 3x = 37 Add '-34' to each side of the equation. 34 + -34 + 3x = 37 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 37 + -34 3x = 37 + -34 Combine like terms: 37 + -34 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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