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Simplifying 2x + -6 = 5x + 18 + -3(x + -4) Reorder the terms: -6 + 2x = 5x + 18 + -3(x + -4) Reorder the terms: -6 + 2x = 5x + 18 + -3(-4 + x) -6 + 2x = 5x + 18 + (-4 * -3 + x * -3) -6 + 2x = 5x + 18 + (12 + -3x) Reorder the terms: -6 + 2x = 18 + 12 + 5x + -3x Combine like terms: 18 + 12 = 30 -6 + 2x = 30 + 5x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = 30 + 2x Add '-2x' to each side of the equation. -6 + 2x + -2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = 30 + 2x + -2x -6 = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = 30 + 0 -6 = 30 Solving -6 = 30 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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