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Simplifying 4x + -38 = 42 + -4x Reorder the terms: -38 + 4x = 42 + -4x Solving -38 + 4x = 42 + -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 + 4x + 4x = 42 + -4x + 4x Combine like terms: 4x + 4x = 8x -38 + 8x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 8x = 42 + 0 -38 + 8x = 42 Add '38' to each side of the equation. -38 + 38 + 8x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 42 + 38 8x = 42 + 38 Combine like terms: 42 + 38 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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