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Simplifying 2(3x + -5) + 1 = 4(2x + 3) + -2x Reorder the terms: 2(-5 + 3x) + 1 = 4(2x + 3) + -2x (-5 * 2 + 3x * 2) + 1 = 4(2x + 3) + -2x (-10 + 6x) + 1 = 4(2x + 3) + -2x Reorder the terms: -10 + 1 + 6x = 4(2x + 3) + -2x Combine like terms: -10 + 1 = -9 -9 + 6x = 4(2x + 3) + -2x Reorder the terms: -9 + 6x = 4(3 + 2x) + -2x -9 + 6x = (3 * 4 + 2x * 4) + -2x -9 + 6x = (12 + 8x) + -2x Combine like terms: 8x + -2x = 6x -9 + 6x = 12 + 6x Add '-6x' to each side of the equation. -9 + 6x + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 0 = 12 + 6x + -6x -9 = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 = 12 + 0 -9 = 12 Solving -9 = 12 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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