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Simplifying 5x + 6 + -9x = 3x + -2 + x Reorder the terms: 6 + 5x + -9x = 3x + -2 + x Combine like terms: 5x + -9x = -4x 6 + -4x = 3x + -2 + x Reorder the terms: 6 + -4x = -2 + 3x + x Combine like terms: 3x + x = 4x 6 + -4x = -2 + 4x Solving 6 + -4x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -4x + -4x = -2 + 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = -2 + 0 6 + -8x = -2 Add '-6' to each side of the equation. 6 + -6 + -8x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -2 + -6 -8x = -2 + -6 Combine like terms: -2 + -6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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