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Simplifying 7(x + -2) + 1 = -34 Reorder the terms: 7(-2 + x) + 1 = -34 (-2 * 7 + x * 7) + 1 = -34 (-14 + 7x) + 1 = -34 Reorder the terms: -14 + 1 + 7x = -34 Combine like terms: -14 + 1 = -13 -13 + 7x = -34 Solving -13 + 7x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7x = -34 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = -34 + 13 7x = -34 + 13 Combine like terms: -34 + 13 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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