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Simplifying 5x + 6 + x = 2 + 4x + -6 Reorder the terms: 6 + 5x + x = 2 + 4x + -6 Combine like terms: 5x + x = 6x 6 + 6x = 2 + 4x + -6 Reorder the terms: 6 + 6x = 2 + -6 + 4x Combine like terms: 2 + -6 = -4 6 + 6x = -4 + 4x Solving 6 + 6x = -4 + 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 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -4 + 0 6 + 2x = -4 Add '-6' to each side of the equation. 6 + -6 + 2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -4 + -6 2x = -4 + -6 Combine like terms: -4 + -6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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