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Simplifying (7 + -5x) * 7 = 11(-3x + 5) Reorder the terms for easier multiplication: 7(7 + -5x) = 11(-3x + 5) (7 * 7 + -5x * 7) = 11(-3x + 5) (49 + -35x) = 11(-3x + 5) Reorder the terms: 49 + -35x = 11(5 + -3x) 49 + -35x = (5 * 11 + -3x * 11) 49 + -35x = (55 + -33x) Solving 49 + -35x = 55 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 49 + -35x + 33x = 55 + -33x + 33x Combine like terms: -35x + 33x = -2x 49 + -2x = 55 + -33x + 33x Combine like terms: -33x + 33x = 0 49 + -2x = 55 + 0 49 + -2x = 55 Add '-49' to each side of the equation. 49 + -49 + -2x = 55 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 55 + -49 -2x = 55 + -49 Combine like terms: 55 + -49 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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