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Simplifying -5(2 + -3x) + 2 = -4 + 5x + 6 (2 * -5 + -3x * -5) + 2 = -4 + 5x + 6 (-10 + 15x) + 2 = -4 + 5x + 6 Reorder the terms: -10 + 2 + 15x = -4 + 5x + 6 Combine like terms: -10 + 2 = -8 -8 + 15x = -4 + 5x + 6 Reorder the terms: -8 + 15x = -4 + 6 + 5x Combine like terms: -4 + 6 = 2 -8 + 15x = 2 + 5x Solving -8 + 15x = 2 + 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. -8 + 15x + -5x = 2 + 5x + -5x Combine like terms: 15x + -5x = 10x -8 + 10x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 10x = 2 + 0 -8 + 10x = 2 Add '8' to each side of the equation. -8 + 8 + 10x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 2 + 8 10x = 2 + 8 Combine like terms: 2 + 8 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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