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Simplifying 5x + -3 + 2x = 6x + 3x + 4 + -2x + -1x + -6 Reorder the terms: -3 + 5x + 2x = 6x + 3x + 4 + -2x + -1x + -6 Combine like terms: 5x + 2x = 7x -3 + 7x = 6x + 3x + 4 + -2x + -1x + -6 Reorder the terms: -3 + 7x = 4 + -6 + 6x + 3x + -2x + -1x Combine like terms: 4 + -6 = -2 -3 + 7x = -2 + 6x + 3x + -2x + -1x Combine like terms: 6x + 3x = 9x -3 + 7x = -2 + 9x + -2x + -1x Combine like terms: 9x + -2x = 7x -3 + 7x = -2 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + 7x = -2 + 6x Solving -3 + 7x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 7x + -6x = -2 + 6x + -6x Combine like terms: 7x + -6x = 1x -3 + 1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 1x = -2 + 0 -3 + 1x = -2 Add '3' to each side of the equation. -3 + 3 + 1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -2 + 3 1x = -2 + 3 Combine like terms: -2 + 3 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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