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Simplifying 2x + 1 = 12x + -5(2x + 3) Reorder the terms: 1 + 2x = 12x + -5(2x + 3) Reorder the terms: 1 + 2x = 12x + -5(3 + 2x) 1 + 2x = 12x + (3 * -5 + 2x * -5) 1 + 2x = 12x + (-15 + -10x) Reorder the terms: 1 + 2x = -15 + 12x + -10x Combine like terms: 12x + -10x = 2x 1 + 2x = -15 + 2x Add '-2x' to each side of the equation. 1 + 2x + -2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 0 = -15 + 2x + -2x 1 = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 1 = -15 + 0 1 = -15 Solving 1 = -15 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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