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Simplifying -17 + 2x = 7(x + -6) Reorder the terms: -17 + 2x = 7(-6 + x) -17 + 2x = (-6 * 7 + x * 7) -17 + 2x = (-42 + 7x) Solving -17 + 2x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 2x + -7x = -42 + 7x + -7x Combine like terms: 2x + -7x = -5x -17 + -5x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -5x = -42 + 0 -17 + -5x = -42 Add '17' to each side of the equation. -17 + 17 + -5x = -42 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = -42 + 17 -5x = -42 + 17 Combine like terms: -42 + 17 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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