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Simplifying 2(5x + 1) + 2 = 3(x + -1) Reorder the terms: 2(1 + 5x) + 2 = 3(x + -1) (1 * 2 + 5x * 2) + 2 = 3(x + -1) (2 + 10x) + 2 = 3(x + -1) Reorder the terms: 2 + 2 + 10x = 3(x + -1) Combine like terms: 2 + 2 = 4 4 + 10x = 3(x + -1) Reorder the terms: 4 + 10x = 3(-1 + x) 4 + 10x = (-1 * 3 + x * 3) 4 + 10x = (-3 + 3x) Solving 4 + 10x = -3 + 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. 4 + 10x + -3x = -3 + 3x + -3x Combine like terms: 10x + -3x = 7x 4 + 7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 7x = -3 + 0 4 + 7x = -3 Add '-4' to each side of the equation. 4 + -4 + 7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -3 + -4 7x = -3 + -4 Combine like terms: -3 + -4 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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