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Simplifying -7(3x + -6) + -4(2x + 9) = 0 Reorder the terms: -7(-6 + 3x) + -4(2x + 9) = 0 (-6 * -7 + 3x * -7) + -4(2x + 9) = 0 (42 + -21x) + -4(2x + 9) = 0 Reorder the terms: 42 + -21x + -4(9 + 2x) = 0 42 + -21x + (9 * -4 + 2x * -4) = 0 42 + -21x + (-36 + -8x) = 0 Reorder the terms: 42 + -36 + -21x + -8x = 0 Combine like terms: 42 + -36 = 6 6 + -21x + -8x = 0 Combine like terms: -21x + -8x = -29x 6 + -29x = 0 Solving 6 + -29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -29x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -29x = 0 + -6 -29x = 0 + -6 Combine like terms: 0 + -6 = -6 -29x = -6 Divide each side by '-29'. x = 0.2068965517 Simplifying x = 0.2068965517
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