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Simplifying 7(-1 + 4x) + -2 = 47 (-1 * 7 + 4x * 7) + -2 = 47 (-7 + 28x) + -2 = 47 Reorder the terms: -7 + -2 + 28x = 47 Combine like terms: -7 + -2 = -9 -9 + 28x = 47 Solving -9 + 28x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 28x = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 28x = 47 + 9 28x = 47 + 9 Combine like terms: 47 + 9 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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