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Simplifying 2(4x + -9) + x = 3x + 6 Reorder the terms: 2(-9 + 4x) + x = 3x + 6 (-9 * 2 + 4x * 2) + x = 3x + 6 (-18 + 8x) + x = 3x + 6 Combine like terms: 8x + x = 9x -18 + 9x = 3x + 6 Reorder the terms: -18 + 9x = 6 + 3x Solving -18 + 9x = 6 + 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. -18 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x -18 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 6x = 6 + 0 -18 + 6x = 6 Add '18' to each side of the equation. -18 + 18 + 6x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 6 + 18 6x = 6 + 18 Combine like terms: 6 + 18 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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