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Simplifying -6(7x + -2) + -7(4 + 9x) = 0 Reorder the terms: -6(-2 + 7x) + -7(4 + 9x) = 0 (-2 * -6 + 7x * -6) + -7(4 + 9x) = 0 (12 + -42x) + -7(4 + 9x) = 0 12 + -42x + (4 * -7 + 9x * -7) = 0 12 + -42x + (-28 + -63x) = 0 Reorder the terms: 12 + -28 + -42x + -63x = 0 Combine like terms: 12 + -28 = -16 -16 + -42x + -63x = 0 Combine like terms: -42x + -63x = -105x -16 + -105x = 0 Solving -16 + -105x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -105x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -105x = 0 + 16 -105x = 0 + 16 Combine like terms: 0 + 16 = 16 -105x = 16 Divide each side by '-105'. x = -0.1523809524 Simplifying x = -0.1523809524
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