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Simplifying 26 + -7(4 + -2x) = 6(5 + x) + 8(x + 4) 26 + (4 * -7 + -2x * -7) = 6(5 + x) + 8(x + 4) 26 + (-28 + 14x) = 6(5 + x) + 8(x + 4) Combine like terms: 26 + -28 = -2 -2 + 14x = 6(5 + x) + 8(x + 4) -2 + 14x = (5 * 6 + x * 6) + 8(x + 4) -2 + 14x = (30 + 6x) + 8(x + 4) Reorder the terms: -2 + 14x = 30 + 6x + 8(4 + x) -2 + 14x = 30 + 6x + (4 * 8 + x * 8) -2 + 14x = 30 + 6x + (32 + 8x) Reorder the terms: -2 + 14x = 30 + 32 + 6x + 8x Combine like terms: 30 + 32 = 62 -2 + 14x = 62 + 6x + 8x Combine like terms: 6x + 8x = 14x -2 + 14x = 62 + 14x Add '-14x' to each side of the equation. -2 + 14x + -14x = 62 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + 0 = 62 + 14x + -14x -2 = 62 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 = 62 + 0 -2 = 62 Solving -2 = 62 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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