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Simplifying -2(4 + -2x) + 3x = 2x + (5 + x) + -6 (4 * -2 + -2x * -2) + 3x = 2x + (5 + x) + -6 (-8 + 4x) + 3x = 2x + (5 + x) + -6 Combine like terms: 4x + 3x = 7x -8 + 7x = 2x + (5 + x) + -6 Remove parenthesis around (5 + x) -8 + 7x = 2x + 5 + x + -6 Reorder the terms: -8 + 7x = 5 + -6 + 2x + x Combine like terms: 5 + -6 = -1 -8 + 7x = -1 + 2x + x Combine like terms: 2x + x = 3x -8 + 7x = -1 + 3x Solving -8 + 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. -8 + 7x + -3x = -1 + 3x + -3x Combine like terms: 7x + -3x = 4x -8 + 4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 4x = -1 + 0 -8 + 4x = -1 Add '8' to each side of the equation. -8 + 8 + 4x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -1 + 8 4x = -1 + 8 Combine like terms: -1 + 8 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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