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Simplifying 4x + 17 = 12x + -71 Reorder the terms: 17 + 4x = 12x + -71 Reorder the terms: 17 + 4x = -71 + 12x Solving 17 + 4x = -71 + 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 = -71 + 12x + -12x Combine like terms: 4x + -12x = -8x 17 + -8x = -71 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -8x = -71 + 0 17 + -8x = -71 Add '-17' to each side of the equation. 17 + -17 + -8x = -71 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = -71 + -17 -8x = -71 + -17 Combine like terms: -71 + -17 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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