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Simplifying 2(2x + -3) = 2(4x + 3) Reorder the terms: 2(-3 + 2x) = 2(4x + 3) (-3 * 2 + 2x * 2) = 2(4x + 3) (-6 + 4x) = 2(4x + 3) Reorder the terms: -6 + 4x = 2(3 + 4x) -6 + 4x = (3 * 2 + 4x * 2) -6 + 4x = (6 + 8x) Solving -6 + 4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 4x + -8x = 6 + 8x + -8x Combine like terms: 4x + -8x = -4x -6 + -4x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -4x = 6 + 0 -6 + -4x = 6 Add '6' to each side of the equation. -6 + 6 + -4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 6 + 6 -4x = 6 + 6 Combine like terms: 6 + 6 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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