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Simplifying -5(-1x + -5) + 5 = -7(2x + -7) Reorder the terms: -5(-5 + -1x) + 5 = -7(2x + -7) (-5 * -5 + -1x * -5) + 5 = -7(2x + -7) (25 + 5x) + 5 = -7(2x + -7) Reorder the terms: 25 + 5 + 5x = -7(2x + -7) Combine like terms: 25 + 5 = 30 30 + 5x = -7(2x + -7) Reorder the terms: 30 + 5x = -7(-7 + 2x) 30 + 5x = (-7 * -7 + 2x * -7) 30 + 5x = (49 + -14x) Solving 30 + 5x = 49 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 30 + 5x + 14x = 49 + -14x + 14x Combine like terms: 5x + 14x = 19x 30 + 19x = 49 + -14x + 14x Combine like terms: -14x + 14x = 0 30 + 19x = 49 + 0 30 + 19x = 49 Add '-30' to each side of the equation. 30 + -30 + 19x = 49 + -30 Combine like terms: 30 + -30 = 0 0 + 19x = 49 + -30 19x = 49 + -30 Combine like terms: 49 + -30 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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