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Simplifying -7(x + 5) + 39 = 7 + -8x Reorder the terms: -7(5 + x) + 39 = 7 + -8x (5 * -7 + x * -7) + 39 = 7 + -8x (-35 + -7x) + 39 = 7 + -8x Reorder the terms: -35 + 39 + -7x = 7 + -8x Combine like terms: -35 + 39 = 4 4 + -7x = 7 + -8x Solving 4 + -7x = 7 + -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. 4 + -7x + 8x = 7 + -8x + 8x Combine like terms: -7x + 8x = 1x 4 + 1x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 1x = 7 + 0 4 + 1x = 7 Add '-4' to each side of the equation. 4 + -4 + 1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 7 + -4 1x = 7 + -4 Combine like terms: 7 + -4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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