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Simplifying 3(x + 4) + 6(2x + -5) = 27 Reorder the terms: 3(4 + x) + 6(2x + -5) = 27 (4 * 3 + x * 3) + 6(2x + -5) = 27 (12 + 3x) + 6(2x + -5) = 27 Reorder the terms: 12 + 3x + 6(-5 + 2x) = 27 12 + 3x + (-5 * 6 + 2x * 6) = 27 12 + 3x + (-30 + 12x) = 27 Reorder the terms: 12 + -30 + 3x + 12x = 27 Combine like terms: 12 + -30 = -18 -18 + 3x + 12x = 27 Combine like terms: 3x + 12x = 15x -18 + 15x = 27 Solving -18 + 15x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 27 + 18 15x = 27 + 18 Combine like terms: 27 + 18 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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