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Simplifying 3(2 + -4x) = 6(5 + -3x) (2 * 3 + -4x * 3) = 6(5 + -3x) (6 + -12x) = 6(5 + -3x) 6 + -12x = (5 * 6 + -3x * 6) 6 + -12x = (30 + -18x) Solving 6 + -12x = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 6 + -12x + 18x = 30 + -18x + 18x Combine like terms: -12x + 18x = 6x 6 + 6x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 6 + 6x = 30 + 0 6 + 6x = 30 Add '-6' to each side of the equation. 6 + -6 + 6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 30 + -6 6x = 30 + -6 Combine like terms: 30 + -6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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