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Simplifying -8(2 + x) + 7(x + 6) = 28 (2 * -8 + x * -8) + 7(x + 6) = 28 (-16 + -8x) + 7(x + 6) = 28 Reorder the terms: -16 + -8x + 7(6 + x) = 28 -16 + -8x + (6 * 7 + x * 7) = 28 -16 + -8x + (42 + 7x) = 28 Reorder the terms: -16 + 42 + -8x + 7x = 28 Combine like terms: -16 + 42 = 26 26 + -8x + 7x = 28 Combine like terms: -8x + 7x = -1x 26 + -1x = 28 Solving 26 + -1x = 28 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 = 28 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 28 + -26 -1x = 28 + -26 Combine like terms: 28 + -26 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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