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Simplifying 27 + -2x = 5(3x + 2) Reorder the terms: 27 + -2x = 5(2 + 3x) 27 + -2x = (2 * 5 + 3x * 5) 27 + -2x = (10 + 15x) Solving 27 + -2x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + -2x + -15x = 10 + 15x + -15x Combine like terms: -2x + -15x = -17x 27 + -17x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -17x = 10 + 0 27 + -17x = 10 Add '-27' to each side of the equation. 27 + -27 + -17x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -17x = 10 + -27 -17x = 10 + -27 Combine like terms: 10 + -27 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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