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Simplifying 7(2 + -3x) = 4(5 + -6x) (2 * 7 + -3x * 7) = 4(5 + -6x) (14 + -21x) = 4(5 + -6x) 14 + -21x = (5 * 4 + -6x * 4) 14 + -21x = (20 + -24x) Solving 14 + -21x = 20 + -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. 14 + -21x + 24x = 20 + -24x + 24x Combine like terms: -21x + 24x = 3x 14 + 3x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 14 + 3x = 20 + 0 14 + 3x = 20 Add '-14' to each side of the equation. 14 + -14 + 3x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 20 + -14 3x = 20 + -14 Combine like terms: 20 + -14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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