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