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Simplifying 3(4x + 1) + 7 = -6(2 + -2x) + 2 Reorder the terms: 3(1 + 4x) + 7 = -6(2 + -2x) + 2 (1 * 3 + 4x * 3) + 7 = -6(2 + -2x) + 2 (3 + 12x) + 7 = -6(2 + -2x) + 2 Reorder the terms: 3 + 7 + 12x = -6(2 + -2x) + 2 Combine like terms: 3 + 7 = 10 10 + 12x = -6(2 + -2x) + 2 10 + 12x = (2 * -6 + -2x * -6) + 2 10 + 12x = (-12 + 12x) + 2 Reorder the terms: 10 + 12x = -12 + 2 + 12x Combine like terms: -12 + 2 = -10 10 + 12x = -10 + 12x Add '-12x' to each side of the equation. 10 + 12x + -12x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 0 = -10 + 12x + -12x 10 = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 10 = -10 + 0 10 = -10 Solving 10 = -10 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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