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Simplifying 7x + -38 = x + 34 Reorder the terms: -38 + 7x = x + 34 Reorder the terms: -38 + 7x = 34 + x Solving -38 + 7x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -38 + 7x + -1x = 34 + x + -1x Combine like terms: 7x + -1x = 6x -38 + 6x = 34 + x + -1x Combine like terms: x + -1x = 0 -38 + 6x = 34 + 0 -38 + 6x = 34 Add '38' to each side of the equation. -38 + 38 + 6x = 34 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 34 + 38 6x = 34 + 38 Combine like terms: 34 + 38 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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