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Simplifying 2(1 + -7x) = -9x + 47 (1 * 2 + -7x * 2) = -9x + 47 (2 + -14x) = -9x + 47 Reorder the terms: 2 + -14x = 47 + -9x Solving 2 + -14x = 47 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + -14x + 9x = 47 + -9x + 9x Combine like terms: -14x + 9x = -5x 2 + -5x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + -5x = 47 + 0 2 + -5x = 47 Add '-2' to each side of the equation. 2 + -2 + -5x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 47 + -2 -5x = 47 + -2 Combine like terms: 47 + -2 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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