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Simplifying 7x + -2(5 + -1x) = 3 + 2x + 1 7x + (5 * -2 + -1x * -2) = 3 + 2x + 1 7x + (-10 + 2x) = 3 + 2x + 1 Reorder the terms: -10 + 7x + 2x = 3 + 2x + 1 Combine like terms: 7x + 2x = 9x -10 + 9x = 3 + 2x + 1 Reorder the terms: -10 + 9x = 3 + 1 + 2x Combine like terms: 3 + 1 = 4 -10 + 9x = 4 + 2x Solving -10 + 9x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 9x + -2x = 4 + 2x + -2x Combine like terms: 9x + -2x = 7x -10 + 7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 7x = 4 + 0 -10 + 7x = 4 Add '10' to each side of the equation. -10 + 10 + 7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 4 + 10 7x = 4 + 10 Combine like terms: 4 + 10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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