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Simplifying 3x + -1(x + 1) + 2 + -1(3 + -2x) = 7 Reorder the terms: 3x + -1(1 + x) + 2 + -1(3 + -2x) = 7 3x + (1 * -1 + x * -1) + 2 + -1(3 + -2x) = 7 3x + (-1 + -1x) + 2 + -1(3 + -2x) = 7 3x + -1 + -1x + 2 + (3 * -1 + -2x * -1) = 7 3x + -1 + -1x + 2 + (-3 + 2x) = 7 Reorder the terms: -1 + 2 + -3 + 3x + -1x + 2x = 7 Combine like terms: -1 + 2 = 1 1 + -3 + 3x + -1x + 2x = 7 Combine like terms: 1 + -3 = -2 -2 + 3x + -1x + 2x = 7 Combine like terms: 3x + -1x = 2x -2 + 2x + 2x = 7 Combine like terms: 2x + 2x = 4x -2 + 4x = 7 Solving -2 + 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 7 + 2 4x = 7 + 2 Combine like terms: 7 + 2 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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