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Simplifying 2(3x + 4) + -14 = 6 + -6(x + -2) Reorder the terms: 2(4 + 3x) + -14 = 6 + -6(x + -2) (4 * 2 + 3x * 2) + -14 = 6 + -6(x + -2) (8 + 6x) + -14 = 6 + -6(x + -2) Reorder the terms: 8 + -14 + 6x = 6 + -6(x + -2) Combine like terms: 8 + -14 = -6 -6 + 6x = 6 + -6(x + -2) Reorder the terms: -6 + 6x = 6 + -6(-2 + x) -6 + 6x = 6 + (-2 * -6 + x * -6) -6 + 6x = 6 + (12 + -6x) Combine like terms: 6 + 12 = 18 -6 + 6x = 18 + -6x Solving -6 + 6x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 6x + 6x = 18 + -6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 12x = 18 + 0 -6 + 12x = 18 Add '6' to each side of the equation. -6 + 6 + 12x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 18 + 6 12x = 18 + 6 Combine like terms: 18 + 6 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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