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Simplifying -7(7x + 6) + -3(x + -9) = 0 Reorder the terms: -7(6 + 7x) + -3(x + -9) = 0 (6 * -7 + 7x * -7) + -3(x + -9) = 0 (-42 + -49x) + -3(x + -9) = 0 Reorder the terms: -42 + -49x + -3(-9 + x) = 0 -42 + -49x + (-9 * -3 + x * -3) = 0 -42 + -49x + (27 + -3x) = 0 Reorder the terms: -42 + 27 + -49x + -3x = 0 Combine like terms: -42 + 27 = -15 -15 + -49x + -3x = 0 Combine like terms: -49x + -3x = -52x -15 + -52x = 0 Solving -15 + -52x = 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 + -52x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -52x = 0 + 15 -52x = 0 + 15 Combine like terms: 0 + 15 = 15 -52x = 15 Divide each side by '-52'. x = -0.2884615385 Simplifying x = -0.2884615385
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