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Simplifying 3(2x + -5) + -7(5 + -3x) = 0 Reorder the terms: 3(-5 + 2x) + -7(5 + -3x) = 0 (-5 * 3 + 2x * 3) + -7(5 + -3x) = 0 (-15 + 6x) + -7(5 + -3x) = 0 -15 + 6x + (5 * -7 + -3x * -7) = 0 -15 + 6x + (-35 + 21x) = 0 Reorder the terms: -15 + -35 + 6x + 21x = 0 Combine like terms: -15 + -35 = -50 -50 + 6x + 21x = 0 Combine like terms: 6x + 21x = 27x -50 + 27x = 0 Solving -50 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 27x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 27x = 0 + 50 27x = 0 + 50 Combine like terms: 0 + 50 = 50 27x = 50 Divide each side by '27'. x = 1.851851852 Simplifying x = 1.851851852
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