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Simplifying 14x + -8(x + 2) = 7(2x + -2) + -8(x + -3) Reorder the terms: 14x + -8(2 + x) = 7(2x + -2) + -8(x + -3) 14x + (2 * -8 + x * -8) = 7(2x + -2) + -8(x + -3) 14x + (-16 + -8x) = 7(2x + -2) + -8(x + -3) Reorder the terms: -16 + 14x + -8x = 7(2x + -2) + -8(x + -3) Combine like terms: 14x + -8x = 6x -16 + 6x = 7(2x + -2) + -8(x + -3) Reorder the terms: -16 + 6x = 7(-2 + 2x) + -8(x + -3) -16 + 6x = (-2 * 7 + 2x * 7) + -8(x + -3) -16 + 6x = (-14 + 14x) + -8(x + -3) Reorder the terms: -16 + 6x = -14 + 14x + -8(-3 + x) -16 + 6x = -14 + 14x + (-3 * -8 + x * -8) -16 + 6x = -14 + 14x + (24 + -8x) Reorder the terms: -16 + 6x = -14 + 24 + 14x + -8x Combine like terms: -14 + 24 = 10 -16 + 6x = 10 + 14x + -8x Combine like terms: 14x + -8x = 6x -16 + 6x = 10 + 6x Add '-6x' to each side of the equation. -16 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 0 = 10 + 6x + -6x -16 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 = 10 + 0 -16 = 10 Solving -16 = 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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