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Simplifying -2(5 + -4x) = 7x + 12 (5 * -2 + -4x * -2) = 7x + 12 (-10 + 8x) = 7x + 12 Reorder the terms: -10 + 8x = 12 + 7x Solving -10 + 8x = 12 + 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. -10 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x -10 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 1x = 12 + 0 -10 + 1x = 12 Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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