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Simplifying 6(x + 1) = (5 + 3x) Reorder the terms: 6(1 + x) = (5 + 3x) (1 * 6 + x * 6) = (5 + 3x) (6 + 6x) = (5 + 3x) Remove parenthesis around (5 + 3x) 6 + 6x = 5 + 3x Solving 6 + 6x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 6x + -3x = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 5 + 0 6 + 3x = 5 Add '-6' to each side of the equation. 6 + -6 + 3x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 5 + -6 3x = 5 + -6 Combine like terms: 5 + -6 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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