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Simplifying 2x + -5(4x + -7) = -55 Reorder the terms: 2x + -5(-7 + 4x) = -55 2x + (-7 * -5 + 4x * -5) = -55 2x + (35 + -20x) = -55 Reorder the terms: 35 + 2x + -20x = -55 Combine like terms: 2x + -20x = -18x 35 + -18x = -55 Solving 35 + -18x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -18x = -55 + -35 Combine like terms: 35 + -35 = 0 0 + -18x = -55 + -35 -18x = -55 + -35 Combine like terms: -55 + -35 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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