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Simplifying 2x + 6 = (3x + -2) + -1(x + 4) Reorder the terms: 6 + 2x = (3x + -2) + -1(x + 4) Reorder the terms: 6 + 2x = (-2 + 3x) + -1(x + 4) Remove parenthesis around (-2 + 3x) 6 + 2x = -2 + 3x + -1(x + 4) Reorder the terms: 6 + 2x = -2 + 3x + -1(4 + x) 6 + 2x = -2 + 3x + (4 * -1 + x * -1) 6 + 2x = -2 + 3x + (-4 + -1x) Reorder the terms: 6 + 2x = -2 + -4 + 3x + -1x Combine like terms: -2 + -4 = -6 6 + 2x = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x 6 + 2x = -6 + 2x Add '-2x' to each side of the equation. 6 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 0 = -6 + 2x + -2x 6 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 = -6 + 0 6 = -6 Solving 6 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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