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Simplifying 3(2x + -5) + -2(6 + 7x) = 0 Reorder the terms: 3(-5 + 2x) + -2(6 + 7x) = 0 (-5 * 3 + 2x * 3) + -2(6 + 7x) = 0 (-15 + 6x) + -2(6 + 7x) = 0 -15 + 6x + (6 * -2 + 7x * -2) = 0 -15 + 6x + (-12 + -14x) = 0 Reorder the terms: -15 + -12 + 6x + -14x = 0 Combine like terms: -15 + -12 = -27 -27 + 6x + -14x = 0 Combine like terms: 6x + -14x = -8x -27 + -8x = 0 Solving -27 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -8x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -8x = 0 + 27 -8x = 0 + 27 Combine like terms: 0 + 27 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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