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Simplifying 3(4x + -7) + 8 = 6(2x + 5) + -7 Reorder the terms: 3(-7 + 4x) + 8 = 6(2x + 5) + -7 (-7 * 3 + 4x * 3) + 8 = 6(2x + 5) + -7 (-21 + 12x) + 8 = 6(2x + 5) + -7 Reorder the terms: -21 + 8 + 12x = 6(2x + 5) + -7 Combine like terms: -21 + 8 = -13 -13 + 12x = 6(2x + 5) + -7 Reorder the terms: -13 + 12x = 6(5 + 2x) + -7 -13 + 12x = (5 * 6 + 2x * 6) + -7 -13 + 12x = (30 + 12x) + -7 Reorder the terms: -13 + 12x = 30 + -7 + 12x Combine like terms: 30 + -7 = 23 -13 + 12x = 23 + 12x Add '-12x' to each side of the equation. -13 + 12x + -12x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + 0 = 23 + 12x + -12x -13 = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 = 23 + 0 -13 = 23 Solving -13 = 23 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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