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Simplifying -2(2x + -1(5x + 2)) = 2 + (2x + 7) Reorder the terms: -2(2x + -1(2 + 5x)) = 2 + (2x + 7) -2(2x + (2 * -1 + 5x * -1)) = 2 + (2x + 7) -2(2x + (-2 + -5x)) = 2 + (2x + 7) Reorder the terms: -2(-2 + 2x + -5x) = 2 + (2x + 7) Combine like terms: 2x + -5x = -3x -2(-2 + -3x) = 2 + (2x + 7) (-2 * -2 + -3x * -2) = 2 + (2x + 7) (4 + 6x) = 2 + (2x + 7) Reorder the terms: 4 + 6x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) 4 + 6x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 4 + 6x = 9 + 2x Solving 4 + 6x = 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. 4 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 9 + 0 4 + 4x = 9 Add '-4' to each side of the equation. 4 + -4 + 4x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 9 + -4 4x = 9 + -4 Combine like terms: 9 + -4 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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