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