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Simplifying 3x + -1(7x + 2) = -5x + 9 Reorder the terms: 3x + -1(2 + 7x) = -5x + 9 3x + (2 * -1 + 7x * -1) = -5x + 9 3x + (-2 + -7x) = -5x + 9 Reorder the terms: -2 + 3x + -7x = -5x + 9 Combine like terms: 3x + -7x = -4x -2 + -4x = -5x + 9 Reorder the terms: -2 + -4x = 9 + -5x Solving -2 + -4x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + -4x + 5x = 9 + -5x + 5x Combine like terms: -4x + 5x = 1x -2 + 1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 1x = 9 + 0 -2 + 1x = 9 Add '2' to each side of the equation. -2 + 2 + 1x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 9 + 2 1x = 9 + 2 Combine like terms: 9 + 2 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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