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Simplifying 8x + 17 = 12x + -7 Reorder the terms: 17 + 8x = 12x + -7 Reorder the terms: 17 + 8x = -7 + 12x Solving 17 + 8x = -7 + 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 + 8x + -12x = -7 + 12x + -12x Combine like terms: 8x + -12x = -4x 17 + -4x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -4x = -7 + 0 17 + -4x = -7 Add '-17' to each side of the equation. 17 + -17 + -4x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -7 + -17 -4x = -7 + -17 Combine like terms: -7 + -17 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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