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Simplifying 9(x + -5) = 5x + -13 Reorder the terms: 9(-5 + x) = 5x + -13 (-5 * 9 + x * 9) = 5x + -13 (-45 + 9x) = 5x + -13 Reorder the terms: -45 + 9x = -13 + 5x Solving -45 + 9x = -13 + 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. -45 + 9x + -5x = -13 + 5x + -5x Combine like terms: 9x + -5x = 4x -45 + 4x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 4x = -13 + 0 -45 + 4x = -13 Add '45' to each side of the equation. -45 + 45 + 4x = -13 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -13 + 45 4x = -13 + 45 Combine like terms: -13 + 45 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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