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Simplifying 5(x + -2) + 2(3x + 2) = 27 Reorder the terms: 5(-2 + x) + 2(3x + 2) = 27 (-2 * 5 + x * 5) + 2(3x + 2) = 27 (-10 + 5x) + 2(3x + 2) = 27 Reorder the terms: -10 + 5x + 2(2 + 3x) = 27 -10 + 5x + (2 * 2 + 3x * 2) = 27 -10 + 5x + (4 + 6x) = 27 Reorder the terms: -10 + 4 + 5x + 6x = 27 Combine like terms: -10 + 4 = -6 -6 + 5x + 6x = 27 Combine like terms: 5x + 6x = 11x -6 + 11x = 27 Solving -6 + 11x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11x = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 27 + 6 11x = 27 + 6 Combine like terms: 27 + 6 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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