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Simplifying 9(x + -3) + -1(x + 5) = 11 Reorder the terms: 9(-3 + x) + -1(x + 5) = 11 (-3 * 9 + x * 9) + -1(x + 5) = 11 (-27 + 9x) + -1(x + 5) = 11 Reorder the terms: -27 + 9x + -1(5 + x) = 11 -27 + 9x + (5 * -1 + x * -1) = 11 -27 + 9x + (-5 + -1x) = 11 Reorder the terms: -27 + -5 + 9x + -1x = 11 Combine like terms: -27 + -5 = -32 -32 + 9x + -1x = 11 Combine like terms: 9x + -1x = 8x -32 + 8x = 11 Solving -32 + 8x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8x = 11 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 11 + 32 8x = 11 + 32 Combine like terms: 11 + 32 = 43 8x = 43 Divide each side by '8'. x = 5.375 Simplifying x = 5.375
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