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Simplifying 4 + -2(3x + 2) = -2(2x + 1) Reorder the terms: 4 + -2(2 + 3x) = -2(2x + 1) 4 + (2 * -2 + 3x * -2) = -2(2x + 1) 4 + (-4 + -6x) = -2(2x + 1) Combine like terms: 4 + -4 = 0 0 + -6x = -2(2x + 1) -6x = -2(2x + 1) Reorder the terms: -6x = -2(1 + 2x) -6x = (1 * -2 + 2x * -2) -6x = (-2 + -4x) Solving -6x = -2 + -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. -6x + 4x = -2 + -4x + 4x Combine like terms: -6x + 4x = -2x -2x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -2x = -2 + 0 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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