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Simplifying 3(2 + -4x) = 7 + -4(2 + -1x) (2 * 3 + -4x * 3) = 7 + -4(2 + -1x) (6 + -12x) = 7 + -4(2 + -1x) 6 + -12x = 7 + (2 * -4 + -1x * -4) 6 + -12x = 7 + (-8 + 4x) Combine like terms: 7 + -8 = -1 6 + -12x = -1 + 4x Solving 6 + -12x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -12x + -4x = -1 + 4x + -4x Combine like terms: -12x + -4x = -16x 6 + -16x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -16x = -1 + 0 6 + -16x = -1 Add '-6' to each side of the equation. 6 + -6 + -16x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -1 + -6 -16x = -1 + -6 Combine like terms: -1 + -6 = -7 -16x = -7 Divide each side by '-16'. x = 0.4375 Simplifying x = 0.4375
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