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Simplifying 5x + -1(7 + -4x) = 47 5x + (7 * -1 + -4x * -1) = 47 5x + (-7 + 4x) = 47 Reorder the terms: -7 + 5x + 4x = 47 Combine like terms: 5x + 4x = 9x -7 + 9x = 47 Solving -7 + 9x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 47 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 47 + 7 9x = 47 + 7 Combine like terms: 47 + 7 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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