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Simplifying (x + -2) + 2x + (7 + -4x) = 2x + -1(1 + 2x) Reorder the terms: (-2 + x) + 2x + (7 + -4x) = 2x + -1(1 + 2x) Remove parenthesis around (-2 + x) -2 + x + 2x + (7 + -4x) = 2x + -1(1 + 2x) Remove parenthesis around (7 + -4x) -2 + x + 2x + 7 + -4x = 2x + -1(1 + 2x) Reorder the terms: -2 + 7 + x + 2x + -4x = 2x + -1(1 + 2x) Combine like terms: -2 + 7 = 5 5 + x + 2x + -4x = 2x + -1(1 + 2x) Combine like terms: x + 2x = 3x 5 + 3x + -4x = 2x + -1(1 + 2x) Combine like terms: 3x + -4x = -1x 5 + -1x = 2x + -1(1 + 2x) 5 + -1x = 2x + (1 * -1 + 2x * -1) 5 + -1x = 2x + (-1 + -2x) Reorder the terms: 5 + -1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = -1 + 0 5 + -1x = -1 Solving 5 + -1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -1 + -5 -1x = -1 + -5 Combine like terms: -1 + -5 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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