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Simplifying 2(2x + 3) + -4x = 8x + 27 Reorder the terms: 2(3 + 2x) + -4x = 8x + 27 (3 * 2 + 2x * 2) + -4x = 8x + 27 (6 + 4x) + -4x = 8x + 27 Combine like terms: 4x + -4x = 0 6 + 0 = 8x + 27 6 = 8x + 27 Reorder the terms: 6 = 27 + 8x Solving 6 = 27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -8x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -8x = 27 + 0 6 + -8x = 27 Add '-6' to each side of the equation. 6 + -6 + -8x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 27 + -6 -8x = 27 + -6 Combine like terms: 27 + -6 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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