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Simplifying -7(x + 1) + -17 = 37 + 2 Reorder the terms: -7(1 + x) + -17 = 37 + 2 (1 * -7 + x * -7) + -17 = 37 + 2 (-7 + -7x) + -17 = 37 + 2 Reorder the terms: -7 + -17 + -7x = 37 + 2 Combine like terms: -7 + -17 = -24 -24 + -7x = 37 + 2 Combine like terms: 37 + 2 = 39 -24 + -7x = 39 Solving -24 + -7x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -7x = 39 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 39 + 24 -7x = 39 + 24 Combine like terms: 39 + 24 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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