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Simplifying -5x + 17 + -3x = 8 + 4x + -12 Reorder the terms: 17 + -5x + -3x = 8 + 4x + -12 Combine like terms: -5x + -3x = -8x 17 + -8x = 8 + 4x + -12 Reorder the terms: 17 + -8x = 8 + -12 + 4x Combine like terms: 8 + -12 = -4 17 + -8x = -4 + 4x Solving 17 + -8x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + -8x + -4x = -4 + 4x + -4x Combine like terms: -8x + -4x = -12x 17 + -12x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -12x = -4 + 0 17 + -12x = -4 Add '-17' to each side of the equation. 17 + -17 + -12x = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = -4 + -17 -12x = -4 + -17 Combine like terms: -4 + -17 = -21 -12x = -21 Divide each side by '-12'. x = 1.75 Simplifying x = 1.75
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