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Simplifying -7(4 + 3x) + -8(x + 7) = 12 (4 * -7 + 3x * -7) + -8(x + 7) = 12 (-28 + -21x) + -8(x + 7) = 12 Reorder the terms: -28 + -21x + -8(7 + x) = 12 -28 + -21x + (7 * -8 + x * -8) = 12 -28 + -21x + (-56 + -8x) = 12 Reorder the terms: -28 + -56 + -21x + -8x = 12 Combine like terms: -28 + -56 = -84 -84 + -21x + -8x = 12 Combine like terms: -21x + -8x = -29x -84 + -29x = 12 Solving -84 + -29x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -29x = 12 + 84 Combine like terms: -84 + 84 = 0 0 + -29x = 12 + 84 -29x = 12 + 84 Combine like terms: 12 + 84 = 96 -29x = 96 Divide each side by '-29'. x = -3.310344828 Simplifying x = -3.310344828
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