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Simplifying -8(7x + -6) = -17 + 9x Reorder the terms: -8(-6 + 7x) = -17 + 9x (-6 * -8 + 7x * -8) = -17 + 9x (48 + -56x) = -17 + 9x Solving 48 + -56x = -17 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 48 + -56x + -9x = -17 + 9x + -9x Combine like terms: -56x + -9x = -65x 48 + -65x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 48 + -65x = -17 + 0 48 + -65x = -17 Add '-48' to each side of the equation. 48 + -48 + -65x = -17 + -48 Combine like terms: 48 + -48 = 0 0 + -65x = -17 + -48 -65x = -17 + -48 Combine like terms: -17 + -48 = -65 -65x = -65 Divide each side by '-65'. x = 1 Simplifying x = 1
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