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Simplifying -2(2 + -2x) + 3x = 2x + (5 + x) + -6 (2 * -2 + -2x * -2) + 3x = 2x + (5 + x) + -6 (-4 + 4x) + 3x = 2x + (5 + x) + -6 Combine like terms: 4x + 3x = 7x -4 + 7x = 2x + (5 + x) + -6 Remove parenthesis around (5 + x) -4 + 7x = 2x + 5 + x + -6 Reorder the terms: -4 + 7x = 5 + -6 + 2x + x Combine like terms: 5 + -6 = -1 -4 + 7x = -1 + 2x + x Combine like terms: 2x + x = 3x -4 + 7x = -1 + 3x Solving -4 + 7x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 7x + -3x = -1 + 3x + -3x Combine like terms: 7x + -3x = 4x -4 + 4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 4x = -1 + 0 -4 + 4x = -1 Add '4' to each side of the equation. -4 + 4 + 4x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -1 + 4 4x = -1 + 4 Combine like terms: -1 + 4 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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