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Simplifying 2(4x + 3) + -5(2x + -1) = 27 Reorder the terms: 2(3 + 4x) + -5(2x + -1) = 27 (3 * 2 + 4x * 2) + -5(2x + -1) = 27 (6 + 8x) + -5(2x + -1) = 27 Reorder the terms: 6 + 8x + -5(-1 + 2x) = 27 6 + 8x + (-1 * -5 + 2x * -5) = 27 6 + 8x + (5 + -10x) = 27 Reorder the terms: 6 + 5 + 8x + -10x = 27 Combine like terms: 6 + 5 = 11 11 + 8x + -10x = 27 Combine like terms: 8x + -10x = -2x 11 + -2x = 27 Solving 11 + -2x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 27 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 27 + -11 -2x = 27 + -11 Combine like terms: 27 + -11 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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