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Simplifying -9x + 4(2x + -6) = 22 + -3x Reorder the terms: -9x + 4(-6 + 2x) = 22 + -3x -9x + (-6 * 4 + 2x * 4) = 22 + -3x -9x + (-24 + 8x) = 22 + -3x Reorder the terms: -24 + -9x + 8x = 22 + -3x Combine like terms: -9x + 8x = -1x -24 + -1x = 22 + -3x Solving -24 + -1x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -1x + 3x = 22 + -3x + 3x Combine like terms: -1x + 3x = 2x -24 + 2x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 2x = 22 + 0 -24 + 2x = 22 Add '24' to each side of the equation. -24 + 24 + 2x = 22 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 22 + 24 2x = 22 + 24 Combine like terms: 22 + 24 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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