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Simplifying 11x + 3x + -7 = 6x + 5 + -3x Reorder the terms: -7 + 11x + 3x = 6x + 5 + -3x Combine like terms: 11x + 3x = 14x -7 + 14x = 6x + 5 + -3x Reorder the terms: -7 + 14x = 5 + 6x + -3x Combine like terms: 6x + -3x = 3x -7 + 14x = 5 + 3x Solving -7 + 14x = 5 + 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. -7 + 14x + -3x = 5 + 3x + -3x Combine like terms: 14x + -3x = 11x -7 + 11x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 11x = 5 + 0 -7 + 11x = 5 Add '7' to each side of the equation. -7 + 7 + 11x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 5 + 7 11x = 5 + 7 Combine like terms: 5 + 7 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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