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Simplifying -4x + -38 = -9x + 42 Reorder the terms: -38 + -4x = -9x + 42 Reorder the terms: -38 + -4x = 42 + -9x Solving -38 + -4x = 42 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -38 + -4x + 9x = 42 + -9x + 9x Combine like terms: -4x + 9x = 5x -38 + 5x = 42 + -9x + 9x Combine like terms: -9x + 9x = 0 -38 + 5x = 42 + 0 -38 + 5x = 42 Add '38' to each side of the equation. -38 + 38 + 5x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 42 + 38 5x = 42 + 38 Combine like terms: 42 + 38 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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