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Simplifying 27 + -2(2x + 1) = 5x + -2(5 + x) Reorder the terms: 27 + -2(1 + 2x) = 5x + -2(5 + x) 27 + (1 * -2 + 2x * -2) = 5x + -2(5 + x) 27 + (-2 + -4x) = 5x + -2(5 + x) Combine like terms: 27 + -2 = 25 25 + -4x = 5x + -2(5 + x) 25 + -4x = 5x + (5 * -2 + x * -2) 25 + -4x = 5x + (-10 + -2x) Reorder the terms: 25 + -4x = -10 + 5x + -2x Combine like terms: 5x + -2x = 3x 25 + -4x = -10 + 3x Solving 25 + -4x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + -4x + -3x = -10 + 3x + -3x Combine like terms: -4x + -3x = -7x 25 + -7x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -7x = -10 + 0 25 + -7x = -10 Add '-25' to each side of the equation. 25 + -25 + -7x = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -10 + -25 -7x = -10 + -25 Combine like terms: -10 + -25 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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