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Simplifying 3(4x + 1) + -2(2x + -7) = 73 Reorder the terms: 3(1 + 4x) + -2(2x + -7) = 73 (1 * 3 + 4x * 3) + -2(2x + -7) = 73 (3 + 12x) + -2(2x + -7) = 73 Reorder the terms: 3 + 12x + -2(-7 + 2x) = 73 3 + 12x + (-7 * -2 + 2x * -2) = 73 3 + 12x + (14 + -4x) = 73 Reorder the terms: 3 + 14 + 12x + -4x = 73 Combine like terms: 3 + 14 = 17 17 + 12x + -4x = 73 Combine like terms: 12x + -4x = 8x 17 + 8x = 73 Solving 17 + 8x = 73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8x = 73 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 73 + -17 8x = 73 + -17 Combine like terms: 73 + -17 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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