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Simplifying 6(x + 4) = x + 2(x + 11) Reorder the terms: 6(4 + x) = x + 2(x + 11) (4 * 6 + x * 6) = x + 2(x + 11) (24 + 6x) = x + 2(x + 11) Reorder the terms: 24 + 6x = x + 2(11 + x) 24 + 6x = x + (11 * 2 + x * 2) 24 + 6x = x + (22 + 2x) Reorder the terms: 24 + 6x = 22 + x + 2x Combine like terms: x + 2x = 3x 24 + 6x = 22 + 3x Solving 24 + 6x = 22 + 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. 24 + 6x + -3x = 22 + 3x + -3x Combine like terms: 6x + -3x = 3x 24 + 3x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 3x = 22 + 0 24 + 3x = 22 Add '-24' to each side of the equation. 24 + -24 + 3x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 22 + -24 3x = 22 + -24 Combine like terms: 22 + -24 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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