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Simplifying 4(x + 7) + -1(3x + 2) = -8 Reorder the terms: 4(7 + x) + -1(3x + 2) = -8 (7 * 4 + x * 4) + -1(3x + 2) = -8 (28 + 4x) + -1(3x + 2) = -8 Reorder the terms: 28 + 4x + -1(2 + 3x) = -8 28 + 4x + (2 * -1 + 3x * -1) = -8 28 + 4x + (-2 + -3x) = -8 Reorder the terms: 28 + -2 + 4x + -3x = -8 Combine like terms: 28 + -2 = 26 26 + 4x + -3x = -8 Combine like terms: 4x + -3x = 1x 26 + 1x = -8 Solving 26 + 1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1x = -8 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = -8 + -26 1x = -8 + -26 Combine like terms: -8 + -26 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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