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Simplifying 4(3x + 1) + 2(x + 4) = 54 Reorder the terms: 4(1 + 3x) + 2(x + 4) = 54 (1 * 4 + 3x * 4) + 2(x + 4) = 54 (4 + 12x) + 2(x + 4) = 54 Reorder the terms: 4 + 12x + 2(4 + x) = 54 4 + 12x + (4 * 2 + x * 2) = 54 4 + 12x + (8 + 2x) = 54 Reorder the terms: 4 + 8 + 12x + 2x = 54 Combine like terms: 4 + 8 = 12 12 + 12x + 2x = 54 Combine like terms: 12x + 2x = 14x 12 + 14x = 54 Solving 12 + 14x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 54 + -12 14x = 54 + -12 Combine like terms: 54 + -12 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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