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Simplifying 3(4x + 9) + -2(7x + -12) = 81 + -3x Reorder the terms: 3(9 + 4x) + -2(7x + -12) = 81 + -3x (9 * 3 + 4x * 3) + -2(7x + -12) = 81 + -3x (27 + 12x) + -2(7x + -12) = 81 + -3x Reorder the terms: 27 + 12x + -2(-12 + 7x) = 81 + -3x 27 + 12x + (-12 * -2 + 7x * -2) = 81 + -3x 27 + 12x + (24 + -14x) = 81 + -3x Reorder the terms: 27 + 24 + 12x + -14x = 81 + -3x Combine like terms: 27 + 24 = 51 51 + 12x + -14x = 81 + -3x Combine like terms: 12x + -14x = -2x 51 + -2x = 81 + -3x Solving 51 + -2x = 81 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 51 + -2x + 3x = 81 + -3x + 3x Combine like terms: -2x + 3x = 1x 51 + 1x = 81 + -3x + 3x Combine like terms: -3x + 3x = 0 51 + 1x = 81 + 0 51 + 1x = 81 Add '-51' to each side of the equation. 51 + -51 + 1x = 81 + -51 Combine like terms: 51 + -51 = 0 0 + 1x = 81 + -51 1x = 81 + -51 Combine like terms: 81 + -51 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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