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Simplifying 3(x + -1) + 2(x + 6) = 54 Reorder the terms: 3(-1 + x) + 2(x + 6) = 54 (-1 * 3 + x * 3) + 2(x + 6) = 54 (-3 + 3x) + 2(x + 6) = 54 Reorder the terms: -3 + 3x + 2(6 + x) = 54 -3 + 3x + (6 * 2 + x * 2) = 54 -3 + 3x + (12 + 2x) = 54 Reorder the terms: -3 + 12 + 3x + 2x = 54 Combine like terms: -3 + 12 = 9 9 + 3x + 2x = 54 Combine like terms: 3x + 2x = 5x 9 + 5x = 54 Solving 9 + 5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 54 + -9 5x = 54 + -9 Combine like terms: 54 + -9 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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