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Simplifying 5(6x + 2) + 26 + 7x = 6x + -2(12 + 9X) Reorder the terms: 5(2 + 6x) + 26 + 7x = 6x + -2(12 + 9X) (2 * 5 + 6x * 5) + 26 + 7x = 6x + -2(12 + 9X) (10 + 30x) + 26 + 7x = 6x + -2(12 + 9X) Reorder the terms: 10 + 26 + 30x + 7x = 6x + -2(12 + 9X) Combine like terms: 10 + 26 = 36 36 + 30x + 7x = 6x + -2(12 + 9X) Combine like terms: 30x + 7x = 37x 36 + 37x = 6x + -2(12 + 9X) 36 + 37x = 6x + (12 * -2 + 9X * -2) 36 + 37x = 6x + (-24 + -18X) Reorder the terms: 36 + 37x = -24 + -18X + 6x Solving 36 + 37x = -24 + -18X + 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. 36 + 37x + -6x = -24 + -18X + 6x + -6x Combine like terms: 37x + -6x = 31x 36 + 31x = -24 + -18X + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 31x = -24 + -18X + 0 36 + 31x = -24 + -18X Add '-36' to each side of the equation. 36 + -36 + 31x = -24 + -36 + -18X Combine like terms: 36 + -36 = 0 0 + 31x = -24 + -36 + -18X 31x = -24 + -36 + -18X Combine like terms: -24 + -36 = -60 31x = -60 + -18X Divide each side by '31'. x = -1.935483871 + -0.5806451613X Simplifying x = -1.935483871 + -0.5806451613X
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