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Simplifying 3(5x + -7) + -2(x + -5) = 0 Reorder the terms: 3(-7 + 5x) + -2(x + -5) = 0 (-7 * 3 + 5x * 3) + -2(x + -5) = 0 (-21 + 15x) + -2(x + -5) = 0 Reorder the terms: -21 + 15x + -2(-5 + x) = 0 -21 + 15x + (-5 * -2 + x * -2) = 0 -21 + 15x + (10 + -2x) = 0 Reorder the terms: -21 + 10 + 15x + -2x = 0 Combine like terms: -21 + 10 = -11 -11 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x -11 + 13x = 0 Solving -11 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 0 + 11 13x = 0 + 11 Combine like terms: 0 + 11 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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