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Simplifying 7x + 4 + -1(2x + 8) = 51 Reorder the terms: 7x + 4 + -1(8 + 2x) = 51 7x + 4 + (8 * -1 + 2x * -1) = 51 7x + 4 + (-8 + -2x) = 51 Reorder the terms: 4 + -8 + 7x + -2x = 51 Combine like terms: 4 + -8 = -4 -4 + 7x + -2x = 51 Combine like terms: 7x + -2x = 5x -4 + 5x = 51 Solving -4 + 5x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 51 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 51 + 4 5x = 51 + 4 Combine like terms: 51 + 4 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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