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Simplifying 7(3 + -4x) = 2(6 + -12x) (3 * 7 + -4x * 7) = 2(6 + -12x) (21 + -28x) = 2(6 + -12x) 21 + -28x = (6 * 2 + -12x * 2) 21 + -28x = (12 + -24x) Solving 21 + -28x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 21 + -28x + 24x = 12 + -24x + 24x Combine like terms: -28x + 24x = -4x 21 + -4x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 21 + -4x = 12 + 0 21 + -4x = 12 Add '-21' to each side of the equation. 21 + -21 + -4x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 12 + -21 -4x = 12 + -21 Combine like terms: 12 + -21 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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