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Simplifying 3x + -2(5x + 3) = 5(4x + -2) Reorder the terms: 3x + -2(3 + 5x) = 5(4x + -2) 3x + (3 * -2 + 5x * -2) = 5(4x + -2) 3x + (-6 + -10x) = 5(4x + -2) Reorder the terms: -6 + 3x + -10x = 5(4x + -2) Combine like terms: 3x + -10x = -7x -6 + -7x = 5(4x + -2) Reorder the terms: -6 + -7x = 5(-2 + 4x) -6 + -7x = (-2 * 5 + 4x * 5) -6 + -7x = (-10 + 20x) Solving -6 + -7x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + -7x + -20x = -10 + 20x + -20x Combine like terms: -7x + -20x = -27x -6 + -27x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -27x = -10 + 0 -6 + -27x = -10 Add '6' to each side of the equation. -6 + 6 + -27x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -27x = -10 + 6 -27x = -10 + 6 Combine like terms: -10 + 6 = -4 -27x = -4 Divide each side by '-27'. x = 0.1481481481 Simplifying x = 0.1481481481
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