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Simplifying 2 + -1(3x + 3) = 31 + -7x Reorder the terms: 2 + -1(3 + 3x) = 31 + -7x 2 + (3 * -1 + 3x * -1) = 31 + -7x 2 + (-3 + -3x) = 31 + -7x Combine like terms: 2 + -3 = -1 -1 + -3x = 31 + -7x Solving -1 + -3x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + -3x + 7x = 31 + -7x + 7x Combine like terms: -3x + 7x = 4x -1 + 4x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 4x = 31 + 0 -1 + 4x = 31 Add '1' to each side of the equation. -1 + 1 + 4x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 31 + 1 4x = 31 + 1 Combine like terms: 31 + 1 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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