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Simplifying -7(x + -2) + 1 = 15 + -7 Reorder the terms: -7(-2 + x) + 1 = 15 + -7 (-2 * -7 + x * -7) + 1 = 15 + -7 (14 + -7x) + 1 = 15 + -7 Reorder the terms: 14 + 1 + -7x = 15 + -7 Combine like terms: 14 + 1 = 15 15 + -7x = 15 + -7 Combine like terms: 15 + -7 = 8 15 + -7x = 8 Solving 15 + -7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 8 + -15 -7x = 8 + -15 Combine like terms: 8 + -15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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