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Simplifying 3(x + 2) = 6(2x) + -6(2) Reorder the terms: 3(2 + x) = 6(2x) + -6(2) (2 * 3 + x * 3) = 6(2x) + -6(2) (6 + 3x) = 6(2x) + -6(2) Remove parenthesis around (2x) 6 + 3x = 6 * 2x + -6(2) Multiply 6 * 2 6 + 3x = 12x + -6(2) Multiply -6 * 2 6 + 3x = 12x + -12 Reorder the terms: 6 + 3x = -12 + 12x Solving 6 + 3x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 3x + -12x = -12 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = -12 + 0 6 + -9x = -12 Add '-6' to each side of the equation. 6 + -6 + -9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -12 + -6 -9x = -12 + -6 Combine like terms: -12 + -6 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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