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Simplifying 6(x + 2) = 6 + 2x + (x + 4) Reorder the terms: 6(2 + x) = 6 + 2x + (x + 4) (2 * 6 + x * 6) = 6 + 2x + (x + 4) (12 + 6x) = 6 + 2x + (x + 4) Reorder the terms: 12 + 6x = 6 + 2x + (4 + x) Remove parenthesis around (4 + x) 12 + 6x = 6 + 2x + 4 + x Reorder the terms: 12 + 6x = 6 + 4 + 2x + x Combine like terms: 6 + 4 = 10 12 + 6x = 10 + 2x + x Combine like terms: 2x + x = 3x 12 + 6x = 10 + 3x Solving 12 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 10 + 0 12 + 3x = 10 Add '-12' to each side of the equation. 12 + -12 + 3x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 10 + -12 3x = 10 + -12 Combine like terms: 10 + -12 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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