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Simplifying 7 + -7(x + 7) = -8x + -35 Reorder the terms: 7 + -7(7 + x) = -8x + -35 7 + (7 * -7 + x * -7) = -8x + -35 7 + (-49 + -7x) = -8x + -35 Combine like terms: 7 + -49 = -42 -42 + -7x = -8x + -35 Reorder the terms: -42 + -7x = -35 + -8x Solving -42 + -7x = -35 + -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. -42 + -7x + 8x = -35 + -8x + 8x Combine like terms: -7x + 8x = 1x -42 + 1x = -35 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 1x = -35 + 0 -42 + 1x = -35 Add '42' to each side of the equation. -42 + 42 + 1x = -35 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -35 + 42 1x = -35 + 42 Combine like terms: -35 + 42 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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