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Simplifying -5x + -2 + 3x = 17 + 12x + -23 Reorder the terms: -2 + -5x + 3x = 17 + 12x + -23 Combine like terms: -5x + 3x = -2x -2 + -2x = 17 + 12x + -23 Reorder the terms: -2 + -2x = 17 + -23 + 12x Combine like terms: 17 + -23 = -6 -2 + -2x = -6 + 12x Solving -2 + -2x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -2x + -12x = -6 + 12x + -12x Combine like terms: -2x + -12x = -14x -2 + -14x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -14x = -6 + 0 -2 + -14x = -6 Add '2' to each side of the equation. -2 + 2 + -14x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = -6 + 2 -14x = -6 + 2 Combine like terms: -6 + 2 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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