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Simplifying 7(x + -7) + 3(3x) = 47 Reorder the terms: 7(-7 + x) + 3(3x) = 47 (-7 * 7 + x * 7) + 3(3x) = 47 (-49 + 7x) + 3(3x) = 47 Remove parenthesis around (3x) -49 + 7x + 3 * 3x = 47 Multiply 3 * 3 -49 + 7x + 9x = 47 Combine like terms: 7x + 9x = 16x -49 + 16x = 47 Solving -49 + 16x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 16x = 47 + 49 Combine like terms: -49 + 49 = 0 0 + 16x = 47 + 49 16x = 47 + 49 Combine like terms: 47 + 49 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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