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Simplifying -1x + 27 = 5(2x + 1) Reorder the terms: 27 + -1x = 5(2x + 1) Reorder the terms: 27 + -1x = 5(1 + 2x) 27 + -1x = (1 * 5 + 2x * 5) 27 + -1x = (5 + 10x) Solving 27 + -1x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + -1x + -10x = 5 + 10x + -10x Combine like terms: -1x + -10x = -11x 27 + -11x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -11x = 5 + 0 27 + -11x = 5 Add '-27' to each side of the equation. 27 + -27 + -11x = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -11x = 5 + -27 -11x = 5 + -27 Combine like terms: 5 + -27 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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