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Simplifying -9x + 4 = 5x + -38 Reorder the terms: 4 + -9x = 5x + -38 Reorder the terms: 4 + -9x = -38 + 5x Solving 4 + -9x = -38 + 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. 4 + -9x + -5x = -38 + 5x + -5x Combine like terms: -9x + -5x = -14x 4 + -14x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -14x = -38 + 0 4 + -14x = -38 Add '-4' to each side of the equation. 4 + -4 + -14x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -38 + -4 -14x = -38 + -4 Combine like terms: -38 + -4 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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