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Simplifying 4(6 + 5x) + -2(1 + 2x) = -10 (6 * 4 + 5x * 4) + -2(1 + 2x) = -10 (24 + 20x) + -2(1 + 2x) = -10 24 + 20x + (1 * -2 + 2x * -2) = -10 24 + 20x + (-2 + -4x) = -10 Reorder the terms: 24 + -2 + 20x + -4x = -10 Combine like terms: 24 + -2 = 22 22 + 20x + -4x = -10 Combine like terms: 20x + -4x = 16x 22 + 16x = -10 Solving 22 + 16x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 16x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + 16x = -10 + -22 16x = -10 + -22 Combine like terms: -10 + -22 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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