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Simplifying 3x + (-1x) + (-1) = 7 + 2(-1x) 3x + (-1x) + -1 = 7 + 2(-1x) Reorder the terms: -1 + 3x + (-1x) = 7 + 2(-1x) Combine like terms: 3x + (-1x) = 2x -1 + 2x = 7 + 2(-1x) Remove parenthesis around (-1x) -1 + 2x = 7 + 2 * -1x Multiply 2 * -1 -1 + 2x = 7 + -2x Solving -1 + 2x = 7 + -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. -1 + 2x + 2x = 7 + -2x + 2x Combine like terms: 2x + 2x = 4x -1 + 4x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 4x = 7 + 0 -1 + 4x = 7 Add '1' to each side of the equation. -1 + 1 + 4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 7 + 1 4x = 7 + 1 Combine like terms: 7 + 1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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