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Simplifying -5(-5x + -3) + -2x + 1 = -7 Reorder the terms: -5(-3 + -5x) + -2x + 1 = -7 (-3 * -5 + -5x * -5) + -2x + 1 = -7 (15 + 25x) + -2x + 1 = -7 Reorder the terms: 15 + 1 + 25x + -2x = -7 Combine like terms: 15 + 1 = 16 16 + 25x + -2x = -7 Combine like terms: 25x + -2x = 23x 16 + 23x = -7 Solving 16 + 23x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 23x = -7 + -16 Combine like terms: 16 + -16 = 0 0 + 23x = -7 + -16 23x = -7 + -16 Combine like terms: -7 + -16 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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