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Simplifying x + 1 = -6x + 36 Reorder the terms: 1 + x = -6x + 36 Reorder the terms: 1 + x = 36 + -6x Solving 1 + x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + x + 6x = 36 + -6x + 6x Combine like terms: x + 6x = 7x 1 + 7x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 7x = 36 + 0 1 + 7x = 36 Add '-1' to each side of the equation. 1 + -1 + 7x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 36 + -1 7x = 36 + -1 Combine like terms: 36 + -1 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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