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Simplifying 12x + -2 = -10(x + 5) + 11(1 + 2x) Reorder the terms: -2 + 12x = -10(x + 5) + 11(1 + 2x) Reorder the terms: -2 + 12x = -10(5 + x) + 11(1 + 2x) -2 + 12x = (5 * -10 + x * -10) + 11(1 + 2x) -2 + 12x = (-50 + -10x) + 11(1 + 2x) -2 + 12x = -50 + -10x + (1 * 11 + 2x * 11) -2 + 12x = -50 + -10x + (11 + 22x) Reorder the terms: -2 + 12x = -50 + 11 + -10x + 22x Combine like terms: -50 + 11 = -39 -2 + 12x = -39 + -10x + 22x Combine like terms: -10x + 22x = 12x -2 + 12x = -39 + 12x Add '-12x' to each side of the equation. -2 + 12x + -12x = -39 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 0 = -39 + 12x + -12x -2 = -39 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 = -39 + 0 -2 = -39 Solving -2 = -39 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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