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Simplifying -2[3x + -5(2x + -3)] = 3x + -8 Reorder the terms: -2[3x + -5(-3 + 2x)] = 3x + -8 -2[3x + (-3 * -5 + 2x * -5)] = 3x + -8 -2[3x + (15 + -10x)] = 3x + -8 Reorder the terms: -2[15 + 3x + -10x] = 3x + -8 Combine like terms: 3x + -10x = -7x -2[15 + -7x] = 3x + -8 [15 * -2 + -7x * -2] = 3x + -8 [-30 + 14x] = 3x + -8 Reorder the terms: -30 + 14x = -8 + 3x Solving -30 + 14x = -8 + 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. -30 + 14x + -3x = -8 + 3x + -3x Combine like terms: 14x + -3x = 11x -30 + 11x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 11x = -8 + 0 -30 + 11x = -8 Add '30' to each side of the equation. -30 + 30 + 11x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = -8 + 30 11x = -8 + 30 Combine like terms: -8 + 30 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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