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Simplifying 2 + -3(5x + 2) = 2(3 + -5x) Reorder the terms: 2 + -3(2 + 5x) = 2(3 + -5x) 2 + (2 * -3 + 5x * -3) = 2(3 + -5x) 2 + (-6 + -15x) = 2(3 + -5x) Combine like terms: 2 + -6 = -4 -4 + -15x = 2(3 + -5x) -4 + -15x = (3 * 2 + -5x * 2) -4 + -15x = (6 + -10x) Solving -4 + -15x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + -15x + 10x = 6 + -10x + 10x Combine like terms: -15x + 10x = -5x -4 + -5x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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