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Simplifying 11x + -12 = 16 + 3x + x + 7 Reorder the terms: -12 + 11x = 16 + 3x + x + 7 Reorder the terms: -12 + 11x = 16 + 7 + 3x + x Combine like terms: 16 + 7 = 23 -12 + 11x = 23 + 3x + x Combine like terms: 3x + x = 4x -12 + 11x = 23 + 4x Solving -12 + 11x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 11x + -4x = 23 + 4x + -4x Combine like terms: 11x + -4x = 7x -12 + 7x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 7x = 23 + 0 -12 + 7x = 23 Add '12' to each side of the equation. -12 + 12 + 7x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 23 + 12 7x = 23 + 12 Combine like terms: 23 + 12 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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