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Simplifying -6(x + 7) + 51 = 17 + -7x Reorder the terms: -6(7 + x) + 51 = 17 + -7x (7 * -6 + x * -6) + 51 = 17 + -7x (-42 + -6x) + 51 = 17 + -7x Reorder the terms: -42 + 51 + -6x = 17 + -7x Combine like terms: -42 + 51 = 9 9 + -6x = 17 + -7x Solving 9 + -6x = 17 + -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. 9 + -6x + 7x = 17 + -7x + 7x Combine like terms: -6x + 7x = 1x 9 + 1x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 1x = 17 + 0 9 + 1x = 17 Add '-9' to each side of the equation. 9 + -9 + 1x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 17 + -9 1x = 17 + -9 Combine like terms: 17 + -9 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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