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Simplifying -3(2x + 7) + (-5x + 6) = 0 Reorder the terms: -3(7 + 2x) + (-5x + 6) = 0 (7 * -3 + 2x * -3) + (-5x + 6) = 0 (-21 + -6x) + (-5x + 6) = 0 Reorder the terms: -21 + -6x + (6 + -5x) = 0 Remove parenthesis around (6 + -5x) -21 + -6x + 6 + -5x = 0 Reorder the terms: -21 + 6 + -6x + -5x = 0 Combine like terms: -21 + 6 = -15 -15 + -6x + -5x = 0 Combine like terms: -6x + -5x = -11x -15 + -11x = 0 Solving -15 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -11x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = 0 + 15 -11x = 0 + 15 Combine like terms: 0 + 15 = 15 -11x = 15 Divide each side by '-11'. x = -1.363636364 Simplifying x = -1.363636364
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