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Simplifying 4x + -8x + 17 = 12x + 5 + -13 Reorder the terms: 17 + 4x + -8x = 12x + 5 + -13 Combine like terms: 4x + -8x = -4x 17 + -4x = 12x + 5 + -13 Reorder the terms: 17 + -4x = 5 + -13 + 12x Combine like terms: 5 + -13 = -8 17 + -4x = -8 + 12x Solving 17 + -4x = -8 + 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. 17 + -4x + -12x = -8 + 12x + -12x Combine like terms: -4x + -12x = -16x 17 + -16x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -16x = -8 + 0 17 + -16x = -8 Add '-17' to each side of the equation. 17 + -17 + -16x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -16x = -8 + -17 -16x = -8 + -17 Combine like terms: -8 + -17 = -25 -16x = -25 Divide each side by '-16'. x = 1.5625 Simplifying x = 1.5625
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