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Simplifying -5(x + 3) + -2(6 + -7x) = 9 Reorder the terms: -5(3 + x) + -2(6 + -7x) = 9 (3 * -5 + x * -5) + -2(6 + -7x) = 9 (-15 + -5x) + -2(6 + -7x) = 9 -15 + -5x + (6 * -2 + -7x * -2) = 9 -15 + -5x + (-12 + 14x) = 9 Reorder the terms: -15 + -12 + -5x + 14x = 9 Combine like terms: -15 + -12 = -27 -27 + -5x + 14x = 9 Combine like terms: -5x + 14x = 9x -27 + 9x = 9 Solving -27 + 9x = 9 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 + 9x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 9 + 27 9x = 9 + 27 Combine like terms: 9 + 27 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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