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Simplifying -38 + 4x = -6x + 32 Reorder the terms: -38 + 4x = 32 + -6x Solving -38 + 4x = 32 + -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 + 4x + 6x = 32 + -6x + 6x Combine like terms: 4x + 6x = 10x -38 + 10x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 10x = 32 + 0 -38 + 10x = 32 Add '38' to each side of the equation. -38 + 38 + 10x = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 10x = 32 + 38 10x = 32 + 38 Combine like terms: 32 + 38 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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