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Simplifying 2(x + -3) + -6 = 4x + -2(5 + x) Reorder the terms: 2(-3 + x) + -6 = 4x + -2(5 + x) (-3 * 2 + x * 2) + -6 = 4x + -2(5 + x) (-6 + 2x) + -6 = 4x + -2(5 + x) Reorder the terms: -6 + -6 + 2x = 4x + -2(5 + x) Combine like terms: -6 + -6 = -12 -12 + 2x = 4x + -2(5 + x) -12 + 2x = 4x + (5 * -2 + x * -2) -12 + 2x = 4x + (-10 + -2x) Reorder the terms: -12 + 2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = -10 + 2x Add '-2x' to each side of the equation. -12 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 0 = -10 + 2x + -2x -12 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 = -10 + 0 -12 = -10 Solving -12 = -10 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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