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Simplifying -130 = -2x + 2(-5x + -17) Reorder the terms: -130 = -2x + 2(-17 + -5x) -130 = -2x + (-17 * 2 + -5x * 2) -130 = -2x + (-34 + -10x) Reorder the terms: -130 = -34 + -2x + -10x Combine like terms: -2x + -10x = -12x -130 = -34 + -12x Solving -130 = -34 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -130 + 12x = -34 + -12x + 12x Combine like terms: -12x + 12x = 0 -130 + 12x = -34 + 0 -130 + 12x = -34 Add '130' to each side of the equation. -130 + 130 + 12x = -34 + 130 Combine like terms: -130 + 130 = 0 0 + 12x = -34 + 130 12x = -34 + 130 Combine like terms: -34 + 130 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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