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Simplifying -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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