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Simplifying 4(3x + -7) + 1 = 6(2x + -5) + 5 Reorder the terms: 4(-7 + 3x) + 1 = 6(2x + -5) + 5 (-7 * 4 + 3x * 4) + 1 = 6(2x + -5) + 5 (-28 + 12x) + 1 = 6(2x + -5) + 5 Reorder the terms: -28 + 1 + 12x = 6(2x + -5) + 5 Combine like terms: -28 + 1 = -27 -27 + 12x = 6(2x + -5) + 5 Reorder the terms: -27 + 12x = 6(-5 + 2x) + 5 -27 + 12x = (-5 * 6 + 2x * 6) + 5 -27 + 12x = (-30 + 12x) + 5 Reorder the terms: -27 + 12x = -30 + 5 + 12x Combine like terms: -30 + 5 = -25 -27 + 12x = -25 + 12x Add '-12x' to each side of the equation. -27 + 12x + -12x = -25 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + 0 = -25 + 12x + -12x -27 = -25 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 = -25 + 0 -27 = -25 Solving -27 = -25 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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