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Simplifying 2x + -1(7x + 7) = 7x + -43 Reorder the terms: 2x + -1(7 + 7x) = 7x + -43 2x + (7 * -1 + 7x * -1) = 7x + -43 2x + (-7 + -7x) = 7x + -43 Reorder the terms: -7 + 2x + -7x = 7x + -43 Combine like terms: 2x + -7x = -5x -7 + -5x = 7x + -43 Reorder the terms: -7 + -5x = -43 + 7x Solving -7 + -5x = -43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -5x + -7x = -43 + 7x + -7x Combine like terms: -5x + -7x = -12x -7 + -12x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -12x = -43 + 0 -7 + -12x = -43 Add '7' to each side of the equation. -7 + 7 + -12x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = -43 + 7 -12x = -43 + 7 Combine like terms: -43 + 7 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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