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Simplifying 3x + 2 + -5x = 6x + -23 Reorder the terms: 2 + 3x + -5x = 6x + -23 Combine like terms: 3x + -5x = -2x 2 + -2x = 6x + -23 Reorder the terms: 2 + -2x = -23 + 6x Solving 2 + -2x = -23 + 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. 2 + -2x + -6x = -23 + 6x + -6x Combine like terms: -2x + -6x = -8x 2 + -8x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -8x = -23 + 0 2 + -8x = -23 Add '-2' to each side of the equation. 2 + -2 + -8x = -23 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -23 + -2 -8x = -23 + -2 Combine like terms: -23 + -2 = -25 -8x = -25 Divide each side by '-8'. x = 3.125 Simplifying x = 3.125
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