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Simplifying 4(3x + 6) = 5(x + -5) Reorder the terms: 4(6 + 3x) = 5(x + -5) (6 * 4 + 3x * 4) = 5(x + -5) (24 + 12x) = 5(x + -5) Reorder the terms: 24 + 12x = 5(-5 + x) 24 + 12x = (-5 * 5 + x * 5) 24 + 12x = (-25 + 5x) Solving 24 + 12x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 12x + -5x = -25 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = -25 + 0 24 + 7x = -25 Add '-24' to each side of the equation. 24 + -24 + 7x = -25 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -25 + -24 7x = -25 + -24 Combine like terms: -25 + -24 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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