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Simplifying 5(2x + -1) + -1(-6 + 3x) = -55 Reorder the terms: 5(-1 + 2x) + -1(-6 + 3x) = -55 (-1 * 5 + 2x * 5) + -1(-6 + 3x) = -55 (-5 + 10x) + -1(-6 + 3x) = -55 -5 + 10x + (-6 * -1 + 3x * -1) = -55 -5 + 10x + (6 + -3x) = -55 Reorder the terms: -5 + 6 + 10x + -3x = -55 Combine like terms: -5 + 6 = 1 1 + 10x + -3x = -55 Combine like terms: 10x + -3x = 7x 1 + 7x = -55 Solving 1 + 7x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = -55 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -55 + -1 7x = -55 + -1 Combine like terms: -55 + -1 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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