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Simplifying 6 + 3(5x + -9) + -7(8 + 2x) = 0 Reorder the terms: 6 + 3(-9 + 5x) + -7(8 + 2x) = 0 6 + (-9 * 3 + 5x * 3) + -7(8 + 2x) = 0 6 + (-27 + 15x) + -7(8 + 2x) = 0 6 + -27 + 15x + (8 * -7 + 2x * -7) = 0 6 + -27 + 15x + (-56 + -14x) = 0 Reorder the terms: 6 + -27 + -56 + 15x + -14x = 0 Combine like terms: 6 + -27 = -21 -21 + -56 + 15x + -14x = 0 Combine like terms: -21 + -56 = -77 -77 + 15x + -14x = 0 Combine like terms: 15x + -14x = 1x -77 + 1x = 0 Solving -77 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 1x = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 1x = 0 + 77 1x = 0 + 77 Combine like terms: 0 + 77 = 77 1x = 77 Divide each side by '1'. x = 77 Simplifying x = 77
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