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Simplifying 17 + 7x = -8(2 + -5x) 17 + 7x = (2 * -8 + -5x * -8) 17 + 7x = (-16 + 40x) Solving 17 + 7x = -16 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 17 + 7x + -40x = -16 + 40x + -40x Combine like terms: 7x + -40x = -33x 17 + -33x = -16 + 40x + -40x Combine like terms: 40x + -40x = 0 17 + -33x = -16 + 0 17 + -33x = -16 Add '-17' to each side of the equation. 17 + -17 + -33x = -16 + -17 Combine like terms: 17 + -17 = 0 0 + -33x = -16 + -17 -33x = -16 + -17 Combine like terms: -16 + -17 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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