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Simplifying -2(x + 2) + -5(-6x + -5) = -35 Reorder the terms: -2(2 + x) + -5(-6x + -5) = -35 (2 * -2 + x * -2) + -5(-6x + -5) = -35 (-4 + -2x) + -5(-6x + -5) = -35 Reorder the terms: -4 + -2x + -5(-5 + -6x) = -35 -4 + -2x + (-5 * -5 + -6x * -5) = -35 -4 + -2x + (25 + 30x) = -35 Reorder the terms: -4 + 25 + -2x + 30x = -35 Combine like terms: -4 + 25 = 21 21 + -2x + 30x = -35 Combine like terms: -2x + 30x = 28x 21 + 28x = -35 Solving 21 + 28x = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 28x = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 28x = -35 + -21 28x = -35 + -21 Combine like terms: -35 + -21 = -56 28x = -56 Divide each side by '28'. x = -2 Simplifying x = -2
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