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Simplifying -38 + 10x = 4x + 58 Reorder the terms: -38 + 10x = 58 + 4x Solving -38 + 10x = 58 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -38 + 10x + -4x = 58 + 4x + -4x Combine like terms: 10x + -4x = 6x -38 + 6x = 58 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 6x = 58 + 0 -38 + 6x = 58 Add '38' to each side of the equation. -38 + 38 + 6x = 58 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 58 + 38 6x = 58 + 38 Combine like terms: 58 + 38 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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