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Simplifying 5x + -2 + 3x + -17 = 12x + -23 Reorder the terms: -2 + -17 + 5x + 3x = 12x + -23 Combine like terms: -2 + -17 = -19 -19 + 5x + 3x = 12x + -23 Combine like terms: 5x + 3x = 8x -19 + 8x = 12x + -23 Reorder the terms: -19 + 8x = -23 + 12x Solving -19 + 8x = -23 + 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. -19 + 8x + -12x = -23 + 12x + -12x Combine like terms: 8x + -12x = -4x -19 + -4x = -23 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + -4x = -23 + 0 -19 + -4x = -23 Add '19' to each side of the equation. -19 + 19 + -4x = -23 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = -23 + 19 -4x = -23 + 19 Combine like terms: -23 + 19 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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