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Simplifying -2(3x + 4) = 31 + -7x Reorder the terms: -2(4 + 3x) = 31 + -7x (4 * -2 + 3x * -2) = 31 + -7x (-8 + -6x) = 31 + -7x Solving -8 + -6x = 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. -8 + -6x + 7x = 31 + -7x + 7x Combine like terms: -6x + 7x = 1x -8 + 1x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 1x = 31 + 0 -8 + 1x = 31 Add '8' to each side of the equation. -8 + 8 + 1x = 31 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 31 + 8 1x = 31 + 8 Combine like terms: 31 + 8 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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