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Simplifying (3x + -2) + 1 = -2(2x + 4) Reorder the terms: (-2 + 3x) + 1 = -2(2x + 4) Remove parenthesis around (-2 + 3x) -2 + 3x + 1 = -2(2x + 4) Reorder the terms: -2 + 1 + 3x = -2(2x + 4) Combine like terms: -2 + 1 = -1 -1 + 3x = -2(2x + 4) Reorder the terms: -1 + 3x = -2(4 + 2x) -1 + 3x = (4 * -2 + 2x * -2) -1 + 3x = (-8 + -4x) Solving -1 + 3x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 3x + 4x = -8 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = -8 + 0 -1 + 7x = -8 Add '1' to each side of the equation. -1 + 1 + 7x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -8 + 1 7x = -8 + 1 Combine like terms: -8 + 1 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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