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Simplifying -7(x + 1) + -10 = 34 + 5 Reorder the terms: -7(1 + x) + -10 = 34 + 5 (1 * -7 + x * -7) + -10 = 34 + 5 (-7 + -7x) + -10 = 34 + 5 Reorder the terms: -7 + -10 + -7x = 34 + 5 Combine like terms: -7 + -10 = -17 -17 + -7x = 34 + 5 Combine like terms: 34 + 5 = 39 -17 + -7x = 39 Solving -17 + -7x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -7x = 39 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 39 + 17 -7x = 39 + 17 Combine like terms: 39 + 17 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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