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Simplifying 8(x + 6) + -9 = x + -10 Reorder the terms: 8(6 + x) + -9 = x + -10 (6 * 8 + x * 8) + -9 = x + -10 (48 + 8x) + -9 = x + -10 Reorder the terms: 48 + -9 + 8x = x + -10 Combine like terms: 48 + -9 = 39 39 + 8x = x + -10 Reorder the terms: 39 + 8x = -10 + x Solving 39 + 8x = -10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 39 + 8x + -1x = -10 + x + -1x Combine like terms: 8x + -1x = 7x 39 + 7x = -10 + x + -1x Combine like terms: x + -1x = 0 39 + 7x = -10 + 0 39 + 7x = -10 Add '-39' to each side of the equation. 39 + -39 + 7x = -10 + -39 Combine like terms: 39 + -39 = 0 0 + 7x = -10 + -39 7x = -10 + -39 Combine like terms: -10 + -39 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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