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Simplifying 3(2x + 8) = 4(-5 + 7x) Reorder the terms: 3(8 + 2x) = 4(-5 + 7x) (8 * 3 + 2x * 3) = 4(-5 + 7x) (24 + 6x) = 4(-5 + 7x) 24 + 6x = (-5 * 4 + 7x * 4) 24 + 6x = (-20 + 28x) Solving 24 + 6x = -20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 24 + 6x + -28x = -20 + 28x + -28x Combine like terms: 6x + -28x = -22x 24 + -22x = -20 + 28x + -28x Combine like terms: 28x + -28x = 0 24 + -22x = -20 + 0 24 + -22x = -20 Add '-24' to each side of the equation. 24 + -24 + -22x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = -20 + -24 -22x = -20 + -24 Combine like terms: -20 + -24 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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