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Simplifying -55 = 5x + -2(-6x + -15) Reorder the terms: -55 = 5x + -2(-15 + -6x) -55 = 5x + (-15 * -2 + -6x * -2) -55 = 5x + (30 + 12x) Reorder the terms: -55 = 30 + 5x + 12x Combine like terms: 5x + 12x = 17x -55 = 30 + 17x Solving -55 = 30 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -55 + -17x = 30 + 17x + -17x Combine like terms: 17x + -17x = 0 -55 + -17x = 30 + 0 -55 + -17x = 30 Add '55' to each side of the equation. -55 + 55 + -17x = 30 + 55 Combine like terms: -55 + 55 = 0 0 + -17x = 30 + 55 -17x = 30 + 55 Combine like terms: 30 + 55 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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