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Simplifying (4x + 9) + -1(5x + 8) = 11 Reorder the terms: (9 + 4x) + -1(5x + 8) = 11 Remove parenthesis around (9 + 4x) 9 + 4x + -1(5x + 8) = 11 Reorder the terms: 9 + 4x + -1(8 + 5x) = 11 9 + 4x + (8 * -1 + 5x * -1) = 11 9 + 4x + (-8 + -5x) = 11 Reorder the terms: 9 + -8 + 4x + -5x = 11 Combine like terms: 9 + -8 = 1 1 + 4x + -5x = 11 Combine like terms: 4x + -5x = -1x 1 + -1x = 11 Solving 1 + -1x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 11 + -1 -1x = 11 + -1 Combine like terms: 11 + -1 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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