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