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Simplifying 3(9x + 27) + -4 = 2(2x + 54) Reorder the terms: 3(27 + 9x) + -4 = 2(2x + 54) (27 * 3 + 9x * 3) + -4 = 2(2x + 54) (81 + 27x) + -4 = 2(2x + 54) Reorder the terms: 81 + -4 + 27x = 2(2x + 54) Combine like terms: 81 + -4 = 77 77 + 27x = 2(2x + 54) Reorder the terms: 77 + 27x = 2(54 + 2x) 77 + 27x = (54 * 2 + 2x * 2) 77 + 27x = (108 + 4x) Solving 77 + 27x = 108 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 77 + 27x + -4x = 108 + 4x + -4x Combine like terms: 27x + -4x = 23x 77 + 23x = 108 + 4x + -4x Combine like terms: 4x + -4x = 0 77 + 23x = 108 + 0 77 + 23x = 108 Add '-77' to each side of the equation. 77 + -77 + 23x = 108 + -77 Combine like terms: 77 + -77 = 0 0 + 23x = 108 + -77 23x = 108 + -77 Combine like terms: 108 + -77 = 31 23x = 31 Divide each side by '23'. x = 1.347826087 Simplifying x = 1.347826087
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