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Simplifying -7x + 17 = -4 + 2(-7 + -7x) Reorder the terms: 17 + -7x = -4 + 2(-7 + -7x) 17 + -7x = -4 + (-7 * 2 + -7x * 2) 17 + -7x = -4 + (-14 + -14x) Combine like terms: -4 + -14 = -18 17 + -7x = -18 + -14x Solving 17 + -7x = -18 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 17 + -7x + 14x = -18 + -14x + 14x Combine like terms: -7x + 14x = 7x 17 + 7x = -18 + -14x + 14x Combine like terms: -14x + 14x = 0 17 + 7x = -18 + 0 17 + 7x = -18 Add '-17' to each side of the equation. 17 + -17 + 7x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = -18 + -17 7x = -18 + -17 Combine like terms: -18 + -17 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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