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Simplifying 8(x + 4) = 9 + -1(5x) Reorder the terms: 8(4 + x) = 9 + -1(5x) (4 * 8 + x * 8) = 9 + -1(5x) (32 + 8x) = 9 + -1(5x) Remove parenthesis around (5x) 32 + 8x = 9 + -1 * 5x Multiply -1 * 5 32 + 8x = 9 + -5x Solving 32 + 8x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 32 + 8x + 5x = 9 + -5x + 5x Combine like terms: 8x + 5x = 13x 32 + 13x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + 13x = 9 + 0 32 + 13x = 9 Add '-32' to each side of the equation. 32 + -32 + 13x = 9 + -32 Combine like terms: 32 + -32 = 0 0 + 13x = 9 + -32 13x = 9 + -32 Combine like terms: 9 + -32 = -23 13x = -23 Divide each side by '13'. x = -1.769230769 Simplifying x = -1.769230769
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