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Simplifying 3(x + -1) + -2(-1x + 1) = 3x + 4 Reorder the terms: 3(-1 + x) + -2(-1x + 1) = 3x + 4 (-1 * 3 + x * 3) + -2(-1x + 1) = 3x + 4 (-3 + 3x) + -2(-1x + 1) = 3x + 4 Reorder the terms: -3 + 3x + -2(1 + -1x) = 3x + 4 -3 + 3x + (1 * -2 + -1x * -2) = 3x + 4 -3 + 3x + (-2 + 2x) = 3x + 4 Reorder the terms: -3 + -2 + 3x + 2x = 3x + 4 Combine like terms: -3 + -2 = -5 -5 + 3x + 2x = 3x + 4 Combine like terms: 3x + 2x = 5x -5 + 5x = 3x + 4 Reorder the terms: -5 + 5x = 4 + 3x Solving -5 + 5x = 4 + 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. -5 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 4 + 0 -5 + 2x = 4 Add '5' to each side of the equation. -5 + 5 + 2x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 4 + 5 2x = 4 + 5 Combine like terms: 4 + 5 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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