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Simplifying 6x + -38 = 74 + -1x Reorder the terms: -38 + 6x = 74 + -1x Solving -38 + 6x = 74 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -38 + 6x + x = 74 + -1x + x Combine like terms: 6x + x = 7x -38 + 7x = 74 + -1x + x Combine like terms: -1x + x = 0 -38 + 7x = 74 + 0 -38 + 7x = 74 Add '38' to each side of the equation. -38 + 38 + 7x = 74 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 74 + 38 7x = 74 + 38 Combine like terms: 74 + 38 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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