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Simplifying 7x + 5 + 2x + -6 + -3x = 5x + 9 + x + -4x + -6 Reorder the terms: 5 + -6 + 7x + 2x + -3x = 5x + 9 + x + -4x + -6 Combine like terms: 5 + -6 = -1 -1 + 7x + 2x + -3x = 5x + 9 + x + -4x + -6 Combine like terms: 7x + 2x = 9x -1 + 9x + -3x = 5x + 9 + x + -4x + -6 Combine like terms: 9x + -3x = 6x -1 + 6x = 5x + 9 + x + -4x + -6 Reorder the terms: -1 + 6x = 9 + -6 + 5x + x + -4x Combine like terms: 9 + -6 = 3 -1 + 6x = 3 + 5x + x + -4x Combine like terms: 5x + x = 6x -1 + 6x = 3 + 6x + -4x Combine like terms: 6x + -4x = 2x -1 + 6x = 3 + 2x Solving -1 + 6x = 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 + 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x -1 + 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 4x = 3 + 0 -1 + 4x = 3 Add '1' to each side of the equation. -1 + 1 + 4x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 3 + 1 4x = 3 + 1 Combine like terms: 3 + 1 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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