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Simplifying 4x + -9 + 7x = 6 + 3x + -7 Reorder the terms: -9 + 4x + 7x = 6 + 3x + -7 Combine like terms: 4x + 7x = 11x -9 + 11x = 6 + 3x + -7 Reorder the terms: -9 + 11x = 6 + -7 + 3x Combine like terms: 6 + -7 = -1 -9 + 11x = -1 + 3x Solving -9 + 11x = -1 + 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. -9 + 11x + -3x = -1 + 3x + -3x Combine like terms: 11x + -3x = 8x -9 + 8x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 8x = -1 + 0 -9 + 8x = -1 Add '9' to each side of the equation. -9 + 9 + 8x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -1 + 9 8x = -1 + 9 Combine like terms: -1 + 9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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