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Simplifying 5x + -1 + 7x = 4x + 3 + -6x Reorder the terms: -1 + 5x + 7x = 4x + 3 + -6x Combine like terms: 5x + 7x = 12x -1 + 12x = 4x + 3 + -6x Reorder the terms: -1 + 12x = 3 + 4x + -6x Combine like terms: 4x + -6x = -2x -1 + 12x = 3 + -2x Solving -1 + 12x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 12x + 2x = 3 + -2x + 2x Combine like terms: 12x + 2x = 14x -1 + 14x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 14x = 3 + 0 -1 + 14x = 3 Add '1' to each side of the equation. -1 + 1 + 14x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 3 + 1 14x = 3 + 1 Combine like terms: 3 + 1 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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