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Simplifying x + -7 = 3 + -7(x + 6) Reorder the terms: -7 + x = 3 + -7(x + 6) Reorder the terms: -7 + x = 3 + -7(6 + x) -7 + x = 3 + (6 * -7 + x * -7) -7 + x = 3 + (-42 + -7x) Combine like terms: 3 + -42 = -39 -7 + x = -39 + -7x Solving -7 + x = -39 + -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. -7 + x + 7x = -39 + -7x + 7x Combine like terms: x + 7x = 8x -7 + 8x = -39 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 8x = -39 + 0 -7 + 8x = -39 Add '7' to each side of the equation. -7 + 7 + 8x = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -39 + 7 8x = -39 + 7 Combine like terms: -39 + 7 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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