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Simplifying -3(2x + 5) + 8(x + 2) + -7 = 6(x + 5) + -4(x + -6) Reorder the terms: -3(5 + 2x) + 8(x + 2) + -7 = 6(x + 5) + -4(x + -6) (5 * -3 + 2x * -3) + 8(x + 2) + -7 = 6(x + 5) + -4(x + -6) (-15 + -6x) + 8(x + 2) + -7 = 6(x + 5) + -4(x + -6) Reorder the terms: -15 + -6x + 8(2 + x) + -7 = 6(x + 5) + -4(x + -6) -15 + -6x + (2 * 8 + x * 8) + -7 = 6(x + 5) + -4(x + -6) -15 + -6x + (16 + 8x) + -7 = 6(x + 5) + -4(x + -6) Reorder the terms: -15 + 16 + -7 + -6x + 8x = 6(x + 5) + -4(x + -6) Combine like terms: -15 + 16 = 1 1 + -7 + -6x + 8x = 6(x + 5) + -4(x + -6) Combine like terms: 1 + -7 = -6 -6 + -6x + 8x = 6(x + 5) + -4(x + -6) Combine like terms: -6x + 8x = 2x -6 + 2x = 6(x + 5) + -4(x + -6) Reorder the terms: -6 + 2x = 6(5 + x) + -4(x + -6) -6 + 2x = (5 * 6 + x * 6) + -4(x + -6) -6 + 2x = (30 + 6x) + -4(x + -6) Reorder the terms: -6 + 2x = 30 + 6x + -4(-6 + x) -6 + 2x = 30 + 6x + (-6 * -4 + x * -4) -6 + 2x = 30 + 6x + (24 + -4x) Reorder the terms: -6 + 2x = 30 + 24 + 6x + -4x Combine like terms: 30 + 24 = 54 -6 + 2x = 54 + 6x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 54 + 2x Add '-2x' to each side of the equation. -6 + 2x + -2x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = 54 + 2x + -2x -6 = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = 54 + 0 -6 = 54 Solving -6 = 54 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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