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Simplifying 4(7x + -6) = 5(5x + -6) Reorder the terms: 4(-6 + 7x) = 5(5x + -6) (-6 * 4 + 7x * 4) = 5(5x + -6) (-24 + 28x) = 5(5x + -6) Reorder the terms: -24 + 28x = 5(-6 + 5x) -24 + 28x = (-6 * 5 + 5x * 5) -24 + 28x = (-30 + 25x) Solving -24 + 28x = -30 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -24 + 28x + -25x = -30 + 25x + -25x Combine like terms: 28x + -25x = 3x -24 + 3x = -30 + 25x + -25x Combine like terms: 25x + -25x = 0 -24 + 3x = -30 + 0 -24 + 3x = -30 Add '24' to each side of the equation. -24 + 24 + 3x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -30 + 24 3x = -30 + 24 Combine like terms: -30 + 24 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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