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Simplifying 17 + -7x = -6(1 + 5x) 17 + -7x = (1 * -6 + 5x * -6) 17 + -7x = (-6 + -30x) Solving 17 + -7x = -6 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 17 + -7x + 30x = -6 + -30x + 30x Combine like terms: -7x + 30x = 23x 17 + 23x = -6 + -30x + 30x Combine like terms: -30x + 30x = 0 17 + 23x = -6 + 0 17 + 23x = -6 Add '-17' to each side of the equation. 17 + -17 + 23x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + 23x = -6 + -17 23x = -6 + -17 Combine like terms: -6 + -17 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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