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Simplifying 2(4x + -3) = 6(2x + 3) Reorder the terms: 2(-3 + 4x) = 6(2x + 3) (-3 * 2 + 4x * 2) = 6(2x + 3) (-6 + 8x) = 6(2x + 3) Reorder the terms: -6 + 8x = 6(3 + 2x) -6 + 8x = (3 * 6 + 2x * 6) -6 + 8x = (18 + 12x) Solving -6 + 8x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 8x + -12x = 18 + 12x + -12x Combine like terms: 8x + -12x = -4x -6 + -4x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -4x = 18 + 0 -6 + -4x = 18 Add '6' to each side of the equation. -6 + 6 + -4x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 18 + 6 -4x = 18 + 6 Combine like terms: 18 + 6 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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