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Simplifying 2x + 6 = -1(x + 4) + (3x + -2) Reorder the terms: 6 + 2x = -1(x + 4) + (3x + -2) Reorder the terms: 6 + 2x = -1(4 + x) + (3x + -2) 6 + 2x = (4 * -1 + x * -1) + (3x + -2) 6 + 2x = (-4 + -1x) + (3x + -2) Reorder the terms: 6 + 2x = -4 + -1x + (-2 + 3x) Remove parenthesis around (-2 + 3x) 6 + 2x = -4 + -1x + -2 + 3x Reorder the terms: 6 + 2x = -4 + -2 + -1x + 3x Combine like terms: -4 + -2 = -6 6 + 2x = -6 + -1x + 3x Combine like terms: -1x + 3x = 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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