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Simplifying 5x(3 + 2) = 7x(3 + -4) * 5 Combine like terms: 3 + 2 = 5 5x(5) = 7x(3 + -4) * 5 Reorder the terms for easier multiplication: 5 * 5x = 7x(3 + -4) * 5 Multiply 5 * 5 25x = 7x(3 + -4) * 5 Combine like terms: 3 + -4 = -1 25x = 7x(-1) * 5 Reorder the terms for easier multiplication: 25x = 7 * -1 * 5x Multiply 7 * -1 25x = -7 * 5x Multiply -7 * 5 25x = -35x Solving 25x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 25x + 35x = -35x + 35x Combine like terms: 25x + 35x = 60x 60x = -35x + 35x Combine like terms: -35x + 35x = 0 60x = 0 Divide each side by '60'. x = 0.0 Simplifying x = 0.0
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