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Simplifying -2(-5x + -3) + -3x + -2 = -5x + -56 Reorder the terms: -2(-3 + -5x) + -3x + -2 = -5x + -56 (-3 * -2 + -5x * -2) + -3x + -2 = -5x + -56 (6 + 10x) + -3x + -2 = -5x + -56 Reorder the terms: 6 + -2 + 10x + -3x = -5x + -56 Combine like terms: 6 + -2 = 4 4 + 10x + -3x = -5x + -56 Combine like terms: 10x + -3x = 7x 4 + 7x = -5x + -56 Reorder the terms: 4 + 7x = -56 + -5x Solving 4 + 7x = -56 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 7x + 5x = -56 + -5x + 5x Combine like terms: 7x + 5x = 12x 4 + 12x = -56 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 12x = -56 + 0 4 + 12x = -56 Add '-4' to each side of the equation. 4 + -4 + 12x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = -56 + -4 12x = -56 + -4 Combine like terms: -56 + -4 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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