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Simplifying 89 + -1(4x + 8) = 4(x + 9) Reorder the terms: 89 + -1(8 + 4x) = 4(x + 9) 89 + (8 * -1 + 4x * -1) = 4(x + 9) 89 + (-8 + -4x) = 4(x + 9) Combine like terms: 89 + -8 = 81 81 + -4x = 4(x + 9) Reorder the terms: 81 + -4x = 4(9 + x) 81 + -4x = (9 * 4 + x * 4) 81 + -4x = (36 + 4x) Solving 81 + -4x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 81 + -4x + -4x = 36 + 4x + -4x Combine like terms: -4x + -4x = -8x 81 + -8x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 81 + -8x = 36 + 0 81 + -8x = 36 Add '-81' to each side of the equation. 81 + -81 + -8x = 36 + -81 Combine like terms: 81 + -81 = 0 0 + -8x = 36 + -81 -8x = 36 + -81 Combine like terms: 36 + -81 = -45 -8x = -45 Divide each side by '-8'. x = 5.625 Simplifying x = 5.625
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