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Simplifying 3(x + -5) + -7(2x + 3) = 0 Reorder the terms: 3(-5 + x) + -7(2x + 3) = 0 (-5 * 3 + x * 3) + -7(2x + 3) = 0 (-15 + 3x) + -7(2x + 3) = 0 Reorder the terms: -15 + 3x + -7(3 + 2x) = 0 -15 + 3x + (3 * -7 + 2x * -7) = 0 -15 + 3x + (-21 + -14x) = 0 Reorder the terms: -15 + -21 + 3x + -14x = 0 Combine like terms: -15 + -21 = -36 -36 + 3x + -14x = 0 Combine like terms: 3x + -14x = -11x -36 + -11x = 0 Solving -36 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -11x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -11x = 0 + 36 -11x = 0 + 36 Combine like terms: 0 + 36 = 36 -11x = 36 Divide each side by '-11'. x = -3.272727273 Simplifying x = -3.272727273
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