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Simplifying 3x + -2 + 9x + -24 = 4x + 6 Reorder the terms: -2 + -24 + 3x + 9x = 4x + 6 Combine like terms: -2 + -24 = -26 -26 + 3x + 9x = 4x + 6 Combine like terms: 3x + 9x = 12x -26 + 12x = 4x + 6 Reorder the terms: -26 + 12x = 6 + 4x Solving -26 + 12x = 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. -26 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -26 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 8x = 6 + 0 -26 + 8x = 6 Add '26' to each side of the equation. -26 + 26 + 8x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 6 + 26 8x = 6 + 26 Combine like terms: 6 + 26 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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