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Simplifying 3(4x + -3) + 2(x + -4) = 81 Reorder the terms: 3(-3 + 4x) + 2(x + -4) = 81 (-3 * 3 + 4x * 3) + 2(x + -4) = 81 (-9 + 12x) + 2(x + -4) = 81 Reorder the terms: -9 + 12x + 2(-4 + x) = 81 -9 + 12x + (-4 * 2 + x * 2) = 81 -9 + 12x + (-8 + 2x) = 81 Reorder the terms: -9 + -8 + 12x + 2x = 81 Combine like terms: -9 + -8 = -17 -17 + 12x + 2x = 81 Combine like terms: 12x + 2x = 14x -17 + 14x = 81 Solving -17 + 14x = 81 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 + 14x = 81 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 81 + 17 14x = 81 + 17 Combine like terms: 81 + 17 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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