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Simplifying 9(x + -4) = 4x + -6 Reorder the terms: 9(-4 + x) = 4x + -6 (-4 * 9 + x * 9) = 4x + -6 (-36 + 9x) = 4x + -6 Reorder the terms: -36 + 9x = -6 + 4x Solving -36 + 9x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 9x + -4x = -6 + 4x + -4x Combine like terms: 9x + -4x = 5x -36 + 5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 5x = -6 + 0 -36 + 5x = -6 Add '36' to each side of the equation. -36 + 36 + 5x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -6 + 36 5x = -6 + 36 Combine like terms: -6 + 36 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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