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Simplifying (8x + -5) + 1 = 9(x + 5) Reorder the terms: (-5 + 8x) + 1 = 9(x + 5) Remove parenthesis 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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