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Simplifying 4(3x + 2) = -5(5x + -2) + 2x Reorder the terms: 4(2 + 3x) = -5(5x + -2) + 2x (2 * 4 + 3x * 4) = -5(5x + -2) + 2x (8 + 12x) = -5(5x + -2) + 2x Reorder the terms: 8 + 12x = -5(-2 + 5x) + 2x 8 + 12x = (-2 * -5 + 5x * -5) + 2x 8 + 12x = (10 + -25x) + 2x Combine like terms: -25x + 2x = -23x 8 + 12x = 10 + -23x Solving 8 + 12x = 10 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 8 + 12x + 23x = 10 + -23x + 23x Combine like terms: 12x + 23x = 35x 8 + 35x = 10 + -23x + 23x Combine like terms: -23x + 23x = 0 8 + 35x = 10 + 0 8 + 35x = 10 Add '-8' to each side of the equation. 8 + -8 + 35x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 35x = 10 + -8 35x = 10 + -8 Combine like terms: 10 + -8 = 2 35x = 2 Divide each side by '35'. x = 0.05714285714 Simplifying x = 0.05714285714
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