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Simplifying 9[x + -5] = 8[x + 5] Reorder the terms: 9[-5 + x] = 8[x + 5] [-5 * 9 + x * 9] = 8[x + 5] [-45 + 9x] = 8[x + 5] Reorder the terms: -45 + 9x = 8[5 + x] -45 + 9x = [5 * 8 + x * 8] -45 + 9x = [40 + 8x] Solving -45 + 9x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 9x + -8x = 40 + 8x + -8x Combine like terms: 9x + -8x = 1x -45 + 1x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 1x = 40 + 0 -45 + 1x = 40 Add '45' to each side of the equation. -45 + 45 + 1x = 40 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 40 + 45 1x = 40 + 45 Combine like terms: 40 + 45 = 85 1x = 85 Divide each side by '1'. x = 85 Simplifying x = 85
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