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Simplifying 7(2x + -6) + 3 = 3(2x + 1) + 2(4x + -5) Reorder the terms: 7(-6 + 2x) + 3 = 3(2x + 1) + 2(4x + -5) (-6 * 7 + 2x * 7) + 3 = 3(2x + 1) + 2(4x + -5) (-42 + 14x) + 3 = 3(2x + 1) + 2(4x + -5) Reorder the terms: -42 + 3 + 14x = 3(2x + 1) + 2(4x + -5) Combine like terms: -42 + 3 = -39 -39 + 14x = 3(2x + 1) + 2(4x + -5) Reorder the terms: -39 + 14x = 3(1 + 2x) + 2(4x + -5) -39 + 14x = (1 * 3 + 2x * 3) + 2(4x + -5) -39 + 14x = (3 + 6x) + 2(4x + -5) Reorder the terms: -39 + 14x = 3 + 6x + 2(-5 + 4x) -39 + 14x = 3 + 6x + (-5 * 2 + 4x * 2) -39 + 14x = 3 + 6x + (-10 + 8x) Reorder the terms: -39 + 14x = 3 + -10 + 6x + 8x Combine like terms: 3 + -10 = -7 -39 + 14x = -7 + 6x + 8x Combine like terms: 6x + 8x = 14x -39 + 14x = -7 + 14x Add '-14x' to each side of the equation. -39 + 14x + -14x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -39 + 0 = -7 + 14x + -14x -39 = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -39 = -7 + 0 -39 = -7 Solving -39 = -7 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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