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Simplifying 38 + -4x = 5x + 22 Reorder the terms: 38 + -4x = 22 + 5x Solving 38 + -4x = 22 + 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. 38 + -4x + -5x = 22 + 5x + -5x Combine like terms: -4x + -5x = -9x 38 + -9x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -9x = 22 + 0 38 + -9x = 22 Add '-38' to each side of the equation. 38 + -38 + -9x = 22 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 22 + -38 -9x = 22 + -38 Combine like terms: 22 + -38 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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