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Simplifying x + -5 = 13 + -7(x + 6) Reorder the terms: -5 + x = 13 + -7(x + 6) Reorder the terms: -5 + x = 13 + -7(6 + x) -5 + x = 13 + (6 * -7 + x * -7) -5 + x = 13 + (-42 + -7x) Combine like terms: 13 + -42 = -29 -5 + x = -29 + -7x Solving -5 + x = -29 + -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. -5 + x + 7x = -29 + -7x + 7x Combine like terms: x + 7x = 8x -5 + 8x = -29 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 8x = -29 + 0 -5 + 8x = -29 Add '5' to each side of the equation. -5 + 5 + 8x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -29 + 5 8x = -29 + 5 Combine like terms: -29 + 5 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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