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Simplifying 4(4x + -2) + 50 = 11x + 2 Reorder the terms: 4(-2 + 4x) + 50 = 11x + 2 (-2 * 4 + 4x * 4) + 50 = 11x + 2 (-8 + 16x) + 50 = 11x + 2 Reorder the terms: -8 + 50 + 16x = 11x + 2 Combine like terms: -8 + 50 = 42 42 + 16x = 11x + 2 Reorder the terms: 42 + 16x = 2 + 11x Solving 42 + 16x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 42 + 16x + -11x = 2 + 11x + -11x Combine like terms: 16x + -11x = 5x 42 + 5x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + 5x = 2 + 0 42 + 5x = 2 Add '-42' to each side of the equation. 42 + -42 + 5x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 2 + -42 5x = 2 + -42 Combine like terms: 2 + -42 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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