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Simplifying x + 38 = -1x + 6 Reorder the terms: 38 + x = -1x + 6 Reorder the terms: 38 + x = 6 + -1x Solving 38 + x = 6 + -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 + x + x = 6 + -1x + x Combine like terms: x + x = 2x 38 + 2x = 6 + -1x + x Combine like terms: -1x + x = 0 38 + 2x = 6 + 0 38 + 2x = 6 Add '-38' to each side of the equation. 38 + -38 + 2x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 6 + -38 2x = 6 + -38 Combine like terms: 6 + -38 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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