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Simplifying (2x + -1(5x + 2)) = 2 + (2x + 7) Reorder the terms: (2x + -1(2 + 5x)) = 2 + (2x + 7) (2x + (2 * -1 + 5x * -1)) = 2 + (2x + 7) (2x + (-2 + -5x)) = 2 + (2x + 7) Reorder the terms: (-2 + 2x + -5x) = 2 + (2x + 7) Combine like terms: 2x + -5x = -3x (-2 + -3x) = 2 + (2x + 7) Remove parenthesis around (-2 + -3x) -2 + -3x = 2 + (2x + 7) Reorder the terms: -2 + -3x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) -2 + -3x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 -2 + -3x = 9 + 2x Solving -2 + -3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -3x + -2x = 9 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = 9 + 0 -2 + -5x = 9 Add '2' to each side of the equation. -2 + 2 + -5x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 9 + 2 -5x = 9 + 2 Combine like terms: 9 + 2 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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