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Simplifying 7x + 38 = x + -5 Reorder the terms: 38 + 7x = x + -5 Reorder the terms: 38 + 7x = -5 + x Solving 38 + 7x = -5 + 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 = -5 + x + -1x Combine like terms: 7x + -1x = 6x 38 + 6x = -5 + x + -1x Combine like terms: x + -1x = 0 38 + 6x = -5 + 0 38 + 6x = -5 Add '-38' to each side of the equation. 38 + -38 + 6x = -5 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = -5 + -38 6x = -5 + -38 Combine like terms: -5 + -38 = -43 6x = -43 Divide each side by '6'. x = -7.166666667 Simplifying x = -7.166666667
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