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Simplifying -38 + 10x = 6x + 78 Reorder the terms: -38 + 10x = 78 + 6x Solving -38 + 10x = 78 + 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 = 78 + 6x + -6x Combine like terms: 10x + -6x = 4x -38 + 4x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 4x = 78 + 0 -38 + 4x = 78 Add '38' to each side of the equation. -38 + 38 + 4x = 78 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = 78 + 38 4x = 78 + 38 Combine like terms: 78 + 38 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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