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Simplifying 9(5 + x) = 8(x + -4) (5 * 9 + x * 9) = 8(x + -4) (45 + 9x) = 8(x + -4) Reorder the terms: 45 + 9x = 8(-4 + x) 45 + 9x = (-4 * 8 + x * 8) 45 + 9x = (-32 + 8x) Solving 45 + 9x = -32 + 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 = -32 + 8x + -8x Combine like terms: 9x + -8x = 1x 45 + 1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 1x = -32 + 0 45 + 1x = -32 Add '-45' to each side of the equation. 45 + -45 + 1x = -32 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -32 + -45 1x = -32 + -45 Combine like terms: -32 + -45 = -77 1x = -77 Divide each side by '1'. x = -77 Simplifying x = -77
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