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Simplifying 10x + 38 = 6x + 22 Reorder the terms: 38 + 10x = 6x + 22 Reorder the terms: 38 + 10x = 22 + 6x Solving 38 + 10x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 10x + -6x = 22 + 6x + -6x Combine like terms: 10x + -6x = 4x 38 + 4x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 4x = 22 + 0 38 + 4x = 22 Add '-38' to each side of the equation. 38 + -38 + 4x = 22 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 22 + -38 4x = 22 + -38 Combine like terms: 22 + -38 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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