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Simplifying -3(5x + 5) + -2 = -5 + -3x Reorder the terms: -3(5 + 5x) + -2 = -5 + -3x (5 * -3 + 5x * -3) + -2 = -5 + -3x (-15 + -15x) + -2 = -5 + -3x Reorder the terms: -15 + -2 + -15x = -5 + -3x Combine like terms: -15 + -2 = -17 -17 + -15x = -5 + -3x Solving -17 + -15x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + -15x + 3x = -5 + -3x + 3x Combine like terms: -15x + 3x = -12x -17 + -12x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + -12x = -5 + 0 -17 + -12x = -5 Add '17' to each side of the equation. -17 + 17 + -12x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -12x = -5 + 17 -12x = -5 + 17 Combine like terms: -5 + 17 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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