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Simplifying 6x + -2 + 3x = 4 + 3(2x + 6) Reorder the terms: -2 + 6x + 3x = 4 + 3(2x + 6) Combine like terms: 6x + 3x = 9x -2 + 9x = 4 + 3(2x + 6) Reorder the terms: -2 + 9x = 4 + 3(6 + 2x) -2 + 9x = 4 + (6 * 3 + 2x * 3) -2 + 9x = 4 + (18 + 6x) Combine like terms: 4 + 18 = 22 -2 + 9x = 22 + 6x Solving -2 + 9x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 9x + -6x = 22 + 6x + -6x Combine like terms: 9x + -6x = 3x -2 + 3x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 3x = 22 + 0 -2 + 3x = 22 Add '2' to each side of the equation. -2 + 2 + 3x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 22 + 2 3x = 22 + 2 Combine like terms: 22 + 2 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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