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Simplifying -38 + -5x = 47 + -10x Solving -38 + -5x = 47 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -38 + -5x + 10x = 47 + -10x + 10x Combine like terms: -5x + 10x = 5x -38 + 5x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 -38 + 5x = 47 + 0 -38 + 5x = 47 Add '38' to each side of the equation. -38 + 38 + 5x = 47 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 47 + 38 5x = 47 + 38 Combine like terms: 47 + 38 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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