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Simplifying 8x + 17 = -61 + 2x Reorder the terms: 17 + 8x = -61 + 2x Solving 17 + 8x = -61 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 8x + -2x = -61 + 2x + -2x Combine like terms: 8x + -2x = 6x 17 + 6x = -61 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 6x = -61 + 0 17 + 6x = -61 Add '-17' to each side of the equation. 17 + -17 + 6x = -61 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = -61 + -17 6x = -61 + -17 Combine like terms: -61 + -17 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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