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Simplifying 6x + -4x + 7x + -2 = 8x + 5x + 6 Reorder the terms: -2 + 6x + -4x + 7x = 8x + 5x + 6 Combine like terms: 6x + -4x = 2x -2 + 2x + 7x = 8x + 5x + 6 Combine like terms: 2x + 7x = 9x -2 + 9x = 8x + 5x + 6 Reorder the terms: -2 + 9x = 6 + 8x + 5x Combine like terms: 8x + 5x = 13x -2 + 9x = 6 + 13x Solving -2 + 9x = 6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + 9x + -13x = 6 + 13x + -13x Combine like terms: 9x + -13x = -4x -2 + -4x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -4x = 6 + 0 -2 + -4x = 6 Add '2' to each side of the equation. -2 + 2 + -4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 6 + 2 -4x = 6 + 2 Combine like terms: 6 + 2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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