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Simplifying 3(4x + -6) + -3x = 22 + 4x Reorder the terms: 3(-6 + 4x) + -3x = 22 + 4x (-6 * 3 + 4x * 3) + -3x = 22 + 4x (-18 + 12x) + -3x = 22 + 4x Combine like terms: 12x + -3x = 9x -18 + 9x = 22 + 4x Solving -18 + 9x = 22 + 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. -18 + 9x + -4x = 22 + 4x + -4x Combine like terms: 9x + -4x = 5x -18 + 5x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 5x = 22 + 0 -18 + 5x = 22 Add '18' to each side of the equation. -18 + 18 + 5x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 22 + 18 5x = 22 + 18 Combine like terms: 22 + 18 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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