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Simplifying 2x + -1(77 + -2x) = 77 + -2x + -1(x) 2x + (77 * -1 + -2x * -1) = 77 + -2x + -1(x) 2x + (-77 + 2x) = 77 + -2x + -1(x) Reorder the terms: -77 + 2x + 2x = 77 + -2x + -1(x) Combine like terms: 2x + 2x = 4x -77 + 4x = 77 + -2x + -1(x) Combine like terms: -2x + -1x = -3x -77 + 4x = 77 + -3x Solving -77 + 4x = 77 + -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. -77 + 4x + 3x = 77 + -3x + 3x Combine like terms: 4x + 3x = 7x -77 + 7x = 77 + -3x + 3x Combine like terms: -3x + 3x = 0 -77 + 7x = 77 + 0 -77 + 7x = 77 Add '77' to each side of the equation. -77 + 77 + 7x = 77 + 77 Combine like terms: -77 + 77 = 0 0 + 7x = 77 + 77 7x = 77 + 77 Combine like terms: 77 + 77 = 154 7x = 154 Divide each side by '7'. x = 22 Simplifying x = 22
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