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Simplifying 2(2x + -7) + -3(5x + 2) = 0 Reorder the terms: 2(-7 + 2x) + -3(5x + 2) = 0 (-7 * 2 + 2x * 2) + -3(5x + 2) = 0 (-14 + 4x) + -3(5x + 2) = 0 Reorder the terms: -14 + 4x + -3(2 + 5x) = 0 -14 + 4x + (2 * -3 + 5x * -3) = 0 -14 + 4x + (-6 + -15x) = 0 Reorder the terms: -14 + -6 + 4x + -15x = 0 Combine like terms: -14 + -6 = -20 -20 + 4x + -15x = 0 Combine like terms: 4x + -15x = -11x -20 + -11x = 0 Solving -20 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -11x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 0 + 20 -11x = 0 + 20 Combine like terms: 0 + 20 = 20 -11x = 20 Divide each side by '-11'. x = -1.818181818 Simplifying x = -1.818181818
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