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Simplifying 3(x + 6) + -4(2x + 1) = 54 Reorder the terms: 3(6 + x) + -4(2x + 1) = 54 (6 * 3 + x * 3) + -4(2x + 1) = 54 (18 + 3x) + -4(2x + 1) = 54 Reorder the terms: 18 + 3x + -4(1 + 2x) = 54 18 + 3x + (1 * -4 + 2x * -4) = 54 18 + 3x + (-4 + -8x) = 54 Reorder the terms: 18 + -4 + 3x + -8x = 54 Combine like terms: 18 + -4 = 14 14 + 3x + -8x = 54 Combine like terms: 3x + -8x = -5x 14 + -5x = 54 Solving 14 + -5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5x = 54 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 54 + -14 -5x = 54 + -14 Combine like terms: 54 + -14 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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