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Simplifying 2(2x + -7) + 3x = 8(x + -1) + -1(x + -6) Reorder the terms: 2(-7 + 2x) + 3x = 8(x + -1) + -1(x + -6) (-7 * 2 + 2x * 2) + 3x = 8(x + -1) + -1(x + -6) (-14 + 4x) + 3x = 8(x + -1) + -1(x + -6) Combine like terms: 4x + 3x = 7x -14 + 7x = 8(x + -1) + -1(x + -6) Reorder the terms: -14 + 7x = 8(-1 + x) + -1(x + -6) -14 + 7x = (-1 * 8 + x * 8) + -1(x + -6) -14 + 7x = (-8 + 8x) + -1(x + -6) Reorder the terms: -14 + 7x = -8 + 8x + -1(-6 + x) -14 + 7x = -8 + 8x + (-6 * -1 + x * -1) -14 + 7x = -8 + 8x + (6 + -1x) Reorder the terms: -14 + 7x = -8 + 6 + 8x + -1x Combine like terms: -8 + 6 = -2 -14 + 7x = -2 + 8x + -1x Combine like terms: 8x + -1x = 7x -14 + 7x = -2 + 7x Add '-7x' to each side of the equation. -14 + 7x + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 0 = -2 + 7x + -7x -14 = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 = -2 + 0 -14 = -2 Solving -14 = -2 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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