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Simplifying (3x + 5) + 31 = -6(2x + -1) Reorder the terms: (5 + 3x) + 31 = -6(2x + -1) Remove parenthesis around (5 + 3x) 5 + 3x + 31 = -6(2x + -1) Reorder the terms: 5 + 31 + 3x = -6(2x + -1) Combine like terms: 5 + 31 = 36 36 + 3x = -6(2x + -1) Reorder the terms: 36 + 3x = -6(-1 + 2x) 36 + 3x = (-1 * -6 + 2x * -6) 36 + 3x = (6 + -12x) Solving 36 + 3x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 36 + 3x + 12x = 6 + -12x + 12x Combine like terms: 3x + 12x = 15x 36 + 15x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 36 + 15x = 6 + 0 36 + 15x = 6 Add '-36' to each side of the equation. 36 + -36 + 15x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = 6 + -36 15x = 6 + -36 Combine like terms: 6 + -36 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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