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Simplifying -1 + 7(x + 6) = 8x + 39 Reorder the terms: -1 + 7(6 + x) = 8x + 39 -1 + (6 * 7 + x * 7) = 8x + 39 -1 + (42 + 7x) = 8x + 39 Combine like terms: -1 + 42 = 41 41 + 7x = 8x + 39 Reorder the terms: 41 + 7x = 39 + 8x Solving 41 + 7x = 39 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + 7x + -8x = 39 + 8x + -8x Combine like terms: 7x + -8x = -1x 41 + -1x = 39 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -1x = 39 + 0 41 + -1x = 39 Add '-41' to each side of the equation. 41 + -41 + -1x = 39 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 39 + -41 -1x = 39 + -41 Combine like terms: 39 + -41 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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