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Simplifying 12x + 16 + -5 = 4x + -7x + 26 Reorder the terms: 16 + -5 + 12x = 4x + -7x + 26 Combine like terms: 16 + -5 = 11 11 + 12x = 4x + -7x + 26 Reorder the terms: 11 + 12x = 26 + 4x + -7x Combine like terms: 4x + -7x = -3x 11 + 12x = 26 + -3x Solving 11 + 12x = 26 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + 12x + 3x = 26 + -3x + 3x Combine like terms: 12x + 3x = 15x 11 + 15x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 15x = 26 + 0 11 + 15x = 26 Add '-11' to each side of the equation. 11 + -11 + 15x = 26 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = 26 + -11 15x = 26 + -11 Combine like terms: 26 + -11 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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