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Simplifying 2(5x + 1) + -2 = 2 + -2(3x + 1) Reorder the terms: 2(1 + 5x) + -2 = 2 + -2(3x + 1) (1 * 2 + 5x * 2) + -2 = 2 + -2(3x + 1) (2 + 10x) + -2 = 2 + -2(3x + 1) Reorder the terms: 2 + -2 + 10x = 2 + -2(3x + 1) Combine like terms: 2 + -2 = 0 0 + 10x = 2 + -2(3x + 1) 10x = 2 + -2(3x + 1) Reorder the terms: 10x = 2 + -2(1 + 3x) 10x = 2 + (1 * -2 + 3x * -2) 10x = 2 + (-2 + -6x) Combine like terms: 2 + -2 = 0 10x = 0 + -6x 10x = -6x Solving 10x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10x + 6x = -6x + 6x Combine like terms: 10x + 6x = 16x 16x = -6x + 6x Combine like terms: -6x + 6x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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