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Simplifying 5(x + 1) + 1 = 36 + -1(5 + -1x) Reorder the terms: 5(1 + x) + 1 = 36 + -1(5 + -1x) (1 * 5 + x * 5) + 1 = 36 + -1(5 + -1x) (5 + 5x) + 1 = 36 + -1(5 + -1x) Reorder the terms: 5 + 1 + 5x = 36 + -1(5 + -1x) Combine like terms: 5 + 1 = 6 6 + 5x = 36 + -1(5 + -1x) 6 + 5x = 36 + (5 * -1 + -1x * -1) 6 + 5x = 36 + (-5 + 1x) Combine like terms: 36 + -5 = 31 6 + 5x = 31 + 1x Solving 6 + 5x = 31 + 1x 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. 6 + 5x + -1x = 31 + 1x + -1x Combine like terms: 5x + -1x = 4x 6 + 4x = 31 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 4x = 31 + 0 6 + 4x = 31 Add '-6' to each side of the equation. 6 + -6 + 4x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 31 + -6 4x = 31 + -6 Combine like terms: 31 + -6 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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