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Simplifying 7(-2x + 7) + 9 = 6(5x + -5) Reorder the terms: 7(7 + -2x) + 9 = 6(5x + -5) (7 * 7 + -2x * 7) + 9 = 6(5x + -5) (49 + -14x) + 9 = 6(5x + -5) Reorder the terms: 49 + 9 + -14x = 6(5x + -5) Combine like terms: 49 + 9 = 58 58 + -14x = 6(5x + -5) Reorder the terms: 58 + -14x = 6(-5 + 5x) 58 + -14x = (-5 * 6 + 5x * 6) 58 + -14x = (-30 + 30x) Solving 58 + -14x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 58 + -14x + -30x = -30 + 30x + -30x Combine like terms: -14x + -30x = -44x 58 + -44x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 58 + -44x = -30 + 0 58 + -44x = -30 Add '-58' to each side of the equation. 58 + -58 + -44x = -30 + -58 Combine like terms: 58 + -58 = 0 0 + -44x = -30 + -58 -44x = -30 + -58 Combine like terms: -30 + -58 = -88 -44x = -88 Divide each side by '-44'. x = 2 Simplifying x = 2
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