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Simplifying 3(4x + -2) + -5(2x + 6) = 2(x + 13) Reorder the terms: 3(-2 + 4x) + -5(2x + 6) = 2(x + 13) (-2 * 3 + 4x * 3) + -5(2x + 6) = 2(x + 13) (-6 + 12x) + -5(2x + 6) = 2(x + 13) Reorder the terms: -6 + 12x + -5(6 + 2x) = 2(x + 13) -6 + 12x + (6 * -5 + 2x * -5) = 2(x + 13) -6 + 12x + (-30 + -10x) = 2(x + 13) Reorder the terms: -6 + -30 + 12x + -10x = 2(x + 13) Combine like terms: -6 + -30 = -36 -36 + 12x + -10x = 2(x + 13) Combine like terms: 12x + -10x = 2x -36 + 2x = 2(x + 13) Reorder the terms: -36 + 2x = 2(13 + x) -36 + 2x = (13 * 2 + x * 2) -36 + 2x = (26 + 2x) Add '-2x' to each side of the equation. -36 + 2x + -2x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 0 = 26 + 2x + -2x -36 = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 = 26 + 0 -36 = 26 Solving -36 = 26 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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