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Simplifying 8(x + 6) = 9 + 7x Reorder the terms: 8(6 + x) = 9 + 7x (6 * 8 + x * 8) = 9 + 7x (48 + 8x) = 9 + 7x Solving 48 + 8x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 8x + -7x = 9 + 7x + -7x Combine like terms: 8x + -7x = 1x 48 + 1x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 1x = 9 + 0 48 + 1x = 9 Add '-48' to each side of the equation. 48 + -48 + 1x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 9 + -48 1x = 9 + -48 Combine like terms: 9 + -48 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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