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Simplifying 2(6x + 7) = 2(x + 4) Reorder the terms: 2(7 + 6x) = 2(x + 4) (7 * 2 + 6x * 2) = 2(x + 4) (14 + 12x) = 2(x + 4) Reorder the terms: 14 + 12x = 2(4 + x) 14 + 12x = (4 * 2 + x * 2) 14 + 12x = (8 + 2x) Solving 14 + 12x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 12x + -2x = 8 + 2x + -2x Combine like terms: 12x + -2x = 10x 14 + 10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 10x = 8 + 0 14 + 10x = 8 Add '-14' to each side of the equation. 14 + -14 + 10x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 8 + -14 10x = 8 + -14 Combine like terms: 8 + -14 = -6 10x = -6 Divide each side by '10'. x = -0.6 Simplifying x = -0.6
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