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Simplifying x + 7 = -7x + -41 Reorder the terms: 7 + x = -7x + -41 Reorder the terms: 7 + x = -41 + -7x Solving 7 + x = -41 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + x + 7x = -41 + -7x + 7x Combine like terms: x + 7x = 8x 7 + 8x = -41 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 8x = -41 + 0 7 + 8x = -41 Add '-7' to each side of the equation. 7 + -7 + 8x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -41 + -7 8x = -41 + -7 Combine like terms: -41 + -7 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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