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Simplifying 5x + 23 = 2(11x + 27) Reorder the terms: 23 + 5x = 2(11x + 27) Reorder the terms: 23 + 5x = 2(27 + 11x) 23 + 5x = (27 * 2 + 11x * 2) 23 + 5x = (54 + 22x) Solving 23 + 5x = 54 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 23 + 5x + -22x = 54 + 22x + -22x Combine like terms: 5x + -22x = -17x 23 + -17x = 54 + 22x + -22x Combine like terms: 22x + -22x = 0 23 + -17x = 54 + 0 23 + -17x = 54 Add '-23' to each side of the equation. 23 + -23 + -17x = 54 + -23 Combine like terms: 23 + -23 = 0 0 + -17x = 54 + -23 -17x = 54 + -23 Combine like terms: 54 + -23 = 31 -17x = 31 Divide each side by '-17'. x = -1.823529412 Simplifying x = -1.823529412
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