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Simplifying 3(x + -5) + -7(2x + 2) = 0 Reorder the terms: 3(-5 + x) + -7(2x + 2) = 0 (-5 * 3 + x * 3) + -7(2x + 2) = 0 (-15 + 3x) + -7(2x + 2) = 0 Reorder the terms: -15 + 3x + -7(2 + 2x) = 0 -15 + 3x + (2 * -7 + 2x * -7) = 0 -15 + 3x + (-14 + -14x) = 0 Reorder the terms: -15 + -14 + 3x + -14x = 0 Combine like terms: -15 + -14 = -29 -29 + 3x + -14x = 0 Combine like terms: 3x + -14x = -11x -29 + -11x = 0 Solving -29 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -11x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -11x = 0 + 29 -11x = 0 + 29 Combine like terms: 0 + 29 = 29 -11x = 29 Divide each side by '-11'. x = -2.636363636 Simplifying x = -2.636363636
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