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Simplifying 12x + 5 + -3(2x + -3) = 4(x + 5) + 2x + 6 Reorder the terms: 12x + 5 + -3(-3 + 2x) = 4(x + 5) + 2x + 6 12x + 5 + (-3 * -3 + 2x * -3) = 4(x + 5) + 2x + 6 12x + 5 + (9 + -6x) = 4(x + 5) + 2x + 6 Reorder the terms: 5 + 9 + 12x + -6x = 4(x + 5) + 2x + 6 Combine like terms: 5 + 9 = 14 14 + 12x + -6x = 4(x + 5) + 2x + 6 Combine like terms: 12x + -6x = 6x 14 + 6x = 4(x + 5) + 2x + 6 Reorder the terms: 14 + 6x = 4(5 + x) + 2x + 6 14 + 6x = (5 * 4 + x * 4) + 2x + 6 14 + 6x = (20 + 4x) + 2x + 6 Reorder the terms: 14 + 6x = 20 + 6 + 4x + 2x Combine like terms: 20 + 6 = 26 14 + 6x = 26 + 4x + 2x Combine like terms: 4x + 2x = 6x 14 + 6x = 26 + 6x Add '-6x' to each side of the equation. 14 + 6x + -6x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 0 = 26 + 6x + -6x 14 = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 14 = 26 + 0 14 = 26 Solving 14 = 26 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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