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Simplifying -17 + 5 = 5(x + -5) + 8 Combine like terms: -17 + 5 = -12 -12 = 5(x + -5) + 8 Reorder the terms: -12 = 5(-5 + x) + 8 -12 = (-5 * 5 + x * 5) + 8 -12 = (-25 + 5x) + 8 Reorder the terms: -12 = -25 + 8 + 5x Combine like terms: -25 + 8 = -17 -12 = -17 + 5x Solving -12 = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -5x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -5x = -17 + 0 -12 + -5x = -17 Add '12' to each side of the equation. -12 + 12 + -5x = -17 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -17 + 12 -5x = -17 + 12 Combine like terms: -17 + 12 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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