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Simplifying [8x + -5] + 1 = 9[x + 5] Reorder the terms: [-5 + 8x] + 1 = 9[x + 5] Remove brackets around [-5 + 8x] -5 + 8x + 1 = 9[x + 5] Reorder the terms: -5 + 1 + 8x = 9[x + 5] Combine like terms: -5 + 1 = -4 -4 + 8x = 9[x + 5] Reorder the terms: -4 + 8x = 9[5 + x] -4 + 8x = [5 * 9 + x * 9] -4 + 8x = [45 + 9x] Solving -4 + 8x = 45 + 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. -4 + 8x + -9x = 45 + 9x + -9x Combine like terms: 8x + -9x = -1x -4 + -1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -1x = 45 + 0 -4 + -1x = 45 Add '4' to each side of the equation. -4 + 4 + -1x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 45 + 4 -1x = 45 + 4 Combine like terms: 45 + 4 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49
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