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Simplifying 5(x + 7) = 11(x + -2) + -3 Reorder the terms: 5(7 + x) = 11(x + -2) + -3 (7 * 5 + x * 5) = 11(x + -2) + -3 (35 + 5x) = 11(x + -2) + -3 Reorder the terms: 35 + 5x = 11(-2 + x) + -3 35 + 5x = (-2 * 11 + x * 11) + -3 35 + 5x = (-22 + 11x) + -3 Reorder the terms: 35 + 5x = -22 + -3 + 11x Combine like terms: -22 + -3 = -25 35 + 5x = -25 + 11x Solving 35 + 5x = -25 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 35 + 5x + -11x = -25 + 11x + -11x Combine like terms: 5x + -11x = -6x 35 + -6x = -25 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + -6x = -25 + 0 35 + -6x = -25 Add '-35' to each side of the equation. 35 + -35 + -6x = -25 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = -25 + -35 -6x = -25 + -35 Combine like terms: -25 + -35 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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