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Simplifying 5(5x + 11) + -7(2x + -5) = 35 Reorder the terms: 5(11 + 5x) + -7(2x + -5) = 35 (11 * 5 + 5x * 5) + -7(2x + -5) = 35 (55 + 25x) + -7(2x + -5) = 35 Reorder the terms: 55 + 25x + -7(-5 + 2x) = 35 55 + 25x + (-5 * -7 + 2x * -7) = 35 55 + 25x + (35 + -14x) = 35 Reorder the terms: 55 + 35 + 25x + -14x = 35 Combine like terms: 55 + 35 = 90 90 + 25x + -14x = 35 Combine like terms: 25x + -14x = 11x 90 + 11x = 35 Solving 90 + 11x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 11x = 35 + -90 Combine like terms: 90 + -90 = 0 0 + 11x = 35 + -90 11x = 35 + -90 Combine like terms: 35 + -90 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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