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Simplifying 3(x + 4) = 8 + -3(x + -2) Reorder the terms: 3(4 + x) = 8 + -3(x + -2) (4 * 3 + x * 3) = 8 + -3(x + -2) (12 + 3x) = 8 + -3(x + -2) Reorder the terms: 12 + 3x = 8 + -3(-2 + x) 12 + 3x = 8 + (-2 * -3 + x * -3) 12 + 3x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 12 + 3x = 14 + -3x Solving 12 + 3x = 14 + -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 + 3x + 3x = 14 + -3x + 3x Combine like terms: 3x + 3x = 6x 12 + 6x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 6x = 14 + 0 12 + 6x = 14 Add '-12' to each side of the equation. 12 + -12 + 6x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 14 + -12 6x = 14 + -12 Combine like terms: 14 + -12 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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