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Simplifying 3x + 2(x + 6) = 9x + 4 Reorder the terms: 3x + 2(6 + x) = 9x + 4 3x + (6 * 2 + x * 2) = 9x + 4 3x + (12 + 2x) = 9x + 4 Reorder the terms: 12 + 3x + 2x = 9x + 4 Combine like terms: 3x + 2x = 5x 12 + 5x = 9x + 4 Reorder the terms: 12 + 5x = 4 + 9x Solving 12 + 5x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 5x + -9x = 4 + 9x + -9x Combine like terms: 5x + -9x = -4x 12 + -4x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -4x = 4 + 0 12 + -4x = 4 Add '-12' to each side of the equation. 12 + -12 + -4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 4 + -12 -4x = 4 + -12 Combine like terms: 4 + -12 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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