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Simplifying -8x + 6(x + 7) = 24 Reorder the terms: -8x + 6(7 + x) = 24 -8x + (7 * 6 + x * 6) = 24 -8x + (42 + 6x) = 24 Reorder the terms: 42 + -8x + 6x = 24 Combine like terms: -8x + 6x = -2x 42 + -2x = 24 Solving 42 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 24 + -42 -2x = 24 + -42 Combine like terms: 24 + -42 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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