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Simplifying 9x + -38 = 2x + 42 Reorder the terms: -38 + 9x = 2x + 42 Reorder the terms: -38 + 9x = 42 + 2x Solving -38 + 9x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 9x + -2x = 42 + 2x + -2x Combine like terms: 9x + -2x = 7x -38 + 7x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 7x = 42 + 0 -38 + 7x = 42 Add '38' to each side of the equation. -38 + 38 + 7x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 42 + 38 7x = 42 + 38 Combine like terms: 42 + 38 = 80 7x = 80 Divide each side by '7'. x = 11.42857143 Simplifying x = 11.42857143
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