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Simplifying -89 = -3(-8x + 5) + -2 Reorder the terms: -89 = -3(5 + -8x) + -2 -89 = (5 * -3 + -8x * -3) + -2 -89 = (-15 + 24x) + -2 Reorder the terms: -89 = -15 + -2 + 24x Combine like terms: -15 + -2 = -17 -89 = -17 + 24x Solving -89 = -17 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -89 + -24x = -17 + 24x + -24x Combine like terms: 24x + -24x = 0 -89 + -24x = -17 + 0 -89 + -24x = -17 Add '89' to each side of the equation. -89 + 89 + -24x = -17 + 89 Combine like terms: -89 + 89 = 0 0 + -24x = -17 + 89 -24x = -17 + 89 Combine like terms: -17 + 89 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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