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Simplifying 7 + 9(-6x + 5) = -5(7x + -6) + 2 Reorder the terms: 7 + 9(5 + -6x) = -5(7x + -6) + 2 7 + (5 * 9 + -6x * 9) = -5(7x + -6) + 2 7 + (45 + -54x) = -5(7x + -6) + 2 Combine like terms: 7 + 45 = 52 52 + -54x = -5(7x + -6) + 2 Reorder the terms: 52 + -54x = -5(-6 + 7x) + 2 52 + -54x = (-6 * -5 + 7x * -5) + 2 52 + -54x = (30 + -35x) + 2 Reorder the terms: 52 + -54x = 30 + 2 + -35x Combine like terms: 30 + 2 = 32 52 + -54x = 32 + -35x Solving 52 + -54x = 32 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 52 + -54x + 35x = 32 + -35x + 35x Combine like terms: -54x + 35x = -19x 52 + -19x = 32 + -35x + 35x Combine like terms: -35x + 35x = 0 52 + -19x = 32 + 0 52 + -19x = 32 Add '-52' to each side of the equation. 52 + -52 + -19x = 32 + -52 Combine like terms: 52 + -52 = 0 0 + -19x = 32 + -52 -19x = 32 + -52 Combine like terms: 32 + -52 = -20 -19x = -20 Divide each side by '-19'. x = 1.052631579 Simplifying x = 1.052631579
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