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Simplifying 6(7x + 6) = 2(4 + x) Reorder the terms: 6(6 + 7x) = 2(4 + x) (6 * 6 + 7x * 6) = 2(4 + x) (36 + 42x) = 2(4 + x) 36 + 42x = (4 * 2 + x * 2) 36 + 42x = (8 + 2x) Solving 36 + 42x = 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. 36 + 42x + -2x = 8 + 2x + -2x Combine like terms: 42x + -2x = 40x 36 + 40x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 40x = 8 + 0 36 + 40x = 8 Add '-36' to each side of the equation. 36 + -36 + 40x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 40x = 8 + -36 40x = 8 + -36 Combine like terms: 8 + -36 = -28 40x = -28 Divide each side by '40'. x = -0.7 Simplifying x = -0.7
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