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Simplifying 4(3 + -4x) = 2(5 + -6x) (3 * 4 + -4x * 4) = 2(5 + -6x) (12 + -16x) = 2(5 + -6x) 12 + -16x = (5 * 2 + -6x * 2) 12 + -16x = (10 + -12x) Solving 12 + -16x = 10 + -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. 12 + -16x + 12x = 10 + -12x + 12x Combine like terms: -16x + 12x = -4x 12 + -4x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + -4x = 10 + 0 12 + -4x = 10 Add '-12' to each side of the equation. 12 + -12 + -4x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 10 + -12 -4x = 10 + -12 Combine like terms: 10 + -12 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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