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Simplifying 17 = -6 + 7(x + -5) Reorder the terms: 17 = -6 + 7(-5 + x) 17 = -6 + (-5 * 7 + x * 7) 17 = -6 + (-35 + 7x) Combine like terms: -6 + -35 = -41 17 = -41 + 7x Solving 17 = -41 + 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 + -7x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -7x = -41 + 0 17 + -7x = -41 Add '-17' to each side of the equation. 17 + -17 + -7x = -41 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -41 + -17 -7x = -41 + -17 Combine like terms: -41 + -17 = -58 -7x = -58 Divide each side by '-7'. x = 8.285714286 Simplifying x = 8.285714286
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