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Simplifying x + -17 = 7(x + -5) Reorder the terms: -17 + x = 7(x + -5) Reorder the terms: -17 + x = 7(-5 + x) -17 + x = (-5 * 7 + x * 7) -17 + x = (-35 + 7x) Solving -17 + x = -35 + 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 + x + -7x = -35 + 7x + -7x Combine like terms: x + -7x = -6x -17 + -6x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -6x = -35 + 0 -17 + -6x = -35 Add '17' to each side of the equation. -17 + 17 + -6x = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = -35 + 17 -6x = -35 + 17 Combine like terms: -35 + 17 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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