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Simplifying 4(x + -2) + -6(9x + 7) = 0 Reorder the terms: 4(-2 + x) + -6(9x + 7) = 0 (-2 * 4 + x * 4) + -6(9x + 7) = 0 (-8 + 4x) + -6(9x + 7) = 0 Reorder the terms: -8 + 4x + -6(7 + 9x) = 0 -8 + 4x + (7 * -6 + 9x * -6) = 0 -8 + 4x + (-42 + -54x) = 0 Reorder the terms: -8 + -42 + 4x + -54x = 0 Combine like terms: -8 + -42 = -50 -50 + 4x + -54x = 0 Combine like terms: 4x + -54x = -50x -50 + -50x = 0 Solving -50 + -50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -50x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -50x = 0 + 50 -50x = 0 + 50 Combine like terms: 0 + 50 = 50 -50x = 50 Divide each side by '-50'. x = -1 Simplifying x = -1
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