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Simplifying -5(-4x + -2) + 4(3x + 1) = -18 Reorder the terms: -5(-2 + -4x) + 4(3x + 1) = -18 (-2 * -5 + -4x * -5) + 4(3x + 1) = -18 (10 + 20x) + 4(3x + 1) = -18 Reorder the terms: 10 + 20x + 4(1 + 3x) = -18 10 + 20x + (1 * 4 + 3x * 4) = -18 10 + 20x + (4 + 12x) = -18 Reorder the terms: 10 + 4 + 20x + 12x = -18 Combine like terms: 10 + 4 = 14 14 + 20x + 12x = -18 Combine like terms: 20x + 12x = 32x 14 + 32x = -18 Solving 14 + 32x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 32x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 32x = -18 + -14 32x = -18 + -14 Combine like terms: -18 + -14 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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