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Simplifying 8(x + 9) = 7x + -6 Reorder the terms: 8(9 + x) = 7x + -6 (9 * 8 + x * 8) = 7x + -6 (72 + 8x) = 7x + -6 Reorder the terms: 72 + 8x = -6 + 7x Solving 72 + 8x = -6 + 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. 72 + 8x + -7x = -6 + 7x + -7x Combine like terms: 8x + -7x = 1x 72 + 1x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 72 + 1x = -6 + 0 72 + 1x = -6 Add '-72' to each side of the equation. 72 + -72 + 1x = -6 + -72 Combine like terms: 72 + -72 = 0 0 + 1x = -6 + -72 1x = -6 + -72 Combine like terms: -6 + -72 = -78 1x = -78 Divide each side by '1'. x = -78 Simplifying x = -78
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