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Simplifying 9(x + -2) + -13 = 5x + 11 Reorder the terms: 9(-2 + x) + -13 = 5x + 11 (-2 * 9 + x * 9) + -13 = 5x + 11 (-18 + 9x) + -13 = 5x + 11 Reorder the terms: -18 + -13 + 9x = 5x + 11 Combine like terms: -18 + -13 = -31 -31 + 9x = 5x + 11 Reorder the terms: -31 + 9x = 11 + 5x Solving -31 + 9x = 11 + 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. -31 + 9x + -5x = 11 + 5x + -5x Combine like terms: 9x + -5x = 4x -31 + 4x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + 4x = 11 + 0 -31 + 4x = 11 Add '31' to each side of the equation. -31 + 31 + 4x = 11 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 11 + 31 4x = 11 + 31 Combine like terms: 11 + 31 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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