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Simplifying 3x + 2 + -5x + 1 = 6x + 4 Reorder the terms: 2 + 1 + 3x + -5x = 6x + 4 Combine like terms: 2 + 1 = 3 3 + 3x + -5x = 6x + 4 Combine like terms: 3x + -5x = -2x 3 + -2x = 6x + 4 Reorder the terms: 3 + -2x = 4 + 6x Solving 3 + -2x = 4 + 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 + -2x + -6x = 4 + 6x + -6x Combine like terms: -2x + -6x = -8x 3 + -8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -8x = 4 + 0 3 + -8x = 4 Add '-3' to each side of the equation. 3 + -3 + -8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 4 + -3 -8x = 4 + -3 Combine like terms: 4 + -3 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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