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Simplifying 4(x + 7) + -1(3x + 6) = 8 Reorder the terms: 4(7 + x) + -1(3x + 6) = 8 (7 * 4 + x * 4) + -1(3x + 6) = 8 (28 + 4x) + -1(3x + 6) = 8 Reorder the terms: 28 + 4x + -1(6 + 3x) = 8 28 + 4x + (6 * -1 + 3x * -1) = 8 28 + 4x + (-6 + -3x) = 8 Reorder the terms: 28 + -6 + 4x + -3x = 8 Combine like terms: 28 + -6 = 22 22 + 4x + -3x = 8 Combine like terms: 4x + -3x = 1x 22 + 1x = 8 Solving 22 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 8 + -22 1x = 8 + -22 Combine like terms: 8 + -22 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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