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