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Simplifying -2(2x + 3) = -3x + 6 Reorder the terms: -2(3 + 2x) = -3x + 6 (3 * -2 + 2x * -2) = -3x + 6 (-6 + -4x) = -3x + 6 Reorder the terms: -6 + -4x = 6 + -3x Solving -6 + -4x = 6 + -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. -6 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -6 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -1x = 6 + 0 -6 + -1x = 6 Add '6' to each side of the equation. -6 + 6 + -1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 6 + 6 -1x = 6 + 6 Combine like terms: 6 + 6 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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