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Simplifying 3x + 2(x + -1) = 4x + -3(x + 2) Reorder the terms: 3x + 2(-1 + x) = 4x + -3(x + 2) 3x + (-1 * 2 + x * 2) = 4x + -3(x + 2) 3x + (-2 + 2x) = 4x + -3(x + 2) Reorder the terms: -2 + 3x + 2x = 4x + -3(x + 2) Combine like terms: 3x + 2x = 5x -2 + 5x = 4x + -3(x + 2) Reorder the terms: -2 + 5x = 4x + -3(2 + x) -2 + 5x = 4x + (2 * -3 + x * -3) -2 + 5x = 4x + (-6 + -3x) Reorder the terms: -2 + 5x = -6 + 4x + -3x Combine like terms: 4x + -3x = 1x -2 + 5x = -6 + 1x Solving -2 + 5x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 5x + -1x = -6 + 1x + -1x Combine like terms: 5x + -1x = 4x -2 + 4x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 4x = -6 + 0 -2 + 4x = -6 Add '2' to each side of the equation. -2 + 2 + 4x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -6 + 2 4x = -6 + 2 Combine like terms: -6 + 2 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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