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Simplifying 6x + 1 = -1(x + -36) Reorder the terms: 1 + 6x = -1(x + -36) Reorder the terms: 1 + 6x = -1(-36 + x) 1 + 6x = (-36 * -1 + x * -1) 1 + 6x = (36 + -1x) Solving 1 + 6x = 36 + -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. 1 + 6x + x = 36 + -1x + x Combine like terms: 6x + x = 7x 1 + 7x = 36 + -1x + x Combine like terms: -1x + x = 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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