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Simplifying x + -7 = 34 + -7(x + 7) Reorder the terms: -7 + x = 34 + -7(x + 7) Reorder the terms: -7 + x = 34 + -7(7 + x) -7 + x = 34 + (7 * -7 + x * -7) -7 + x = 34 + (-49 + -7x) Combine like terms: 34 + -49 = -15 -7 + x = -15 + -7x Solving -7 + x = -15 + -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 = -15 + -7x + 7x Combine like terms: x + 7x = 8x -7 + 8x = -15 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 8x = -15 + 0 -7 + 8x = -15 Add '7' to each side of the equation. -7 + 7 + 8x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -15 + 7 8x = -15 + 7 Combine like terms: -15 + 7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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