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