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Simplifying 4x + -2 = 3x + -1(x + 2) + (-1x + 6) Reorder the terms: -2 + 4x = 3x + -1(x + 2) + (-1x + 6) Reorder the terms: -2 + 4x = 3x + -1(2 + x) + (-1x + 6) -2 + 4x = 3x + (2 * -1 + x * -1) + (-1x + 6) -2 + 4x = 3x + (-2 + -1x) + (-1x + 6) Reorder the terms: -2 + 4x = 3x + -2 + -1x + (6 + -1x) Remove parenthesis around (6 + -1x) -2 + 4x = 3x + -2 + -1x + 6 + -1x Reorder the terms: -2 + 4x = -2 + 6 + 3x + -1x + -1x Combine like terms: -2 + 6 = 4 -2 + 4x = 4 + 3x + -1x + -1x Combine like terms: 3x + -1x = 2x -2 + 4x = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x -2 + 4x = 4 + 1x Solving -2 + 4x = 4 + 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 + 4x + -1x = 4 + 1x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 3x = 4 + 0 -2 + 3x = 4 Add '2' to each side of the equation. -2 + 2 + 3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 4 + 2 3x = 4 + 2 Combine like terms: 4 + 2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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