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Simplifying 4(x + -5) + (x + 7) = 47 Reorder the terms: 4(-5 + x) + (x + 7) = 47 (-5 * 4 + x * 4) + (x + 7) = 47 (-20 + 4x) + (x + 7) = 47 Reorder the terms: -20 + 4x + (7 + x) = 47 Remove parenthesis around (7 + x) -20 + 4x + 7 + x = 47 Reorder the terms: -20 + 7 + 4x + x = 47 Combine like terms: -20 + 7 = -13 -13 + 4x + x = 47 Combine like terms: 4x + x = 5x -13 + 5x = 47 Solving -13 + 5x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 47 + 13 5x = 47 + 13 Combine like terms: 47 + 13 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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