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Simplifying 6(2x + 3) + -1x = 5(3x + -2) + -4x + 1 Reorder the terms: 6(3 + 2x) + -1x = 5(3x + -2) + -4x + 1 (3 * 6 + 2x * 6) + -1x = 5(3x + -2) + -4x + 1 (18 + 12x) + -1x = 5(3x + -2) + -4x + 1 Combine like terms: 12x + -1x = 11x 18 + 11x = 5(3x + -2) + -4x + 1 Reorder the terms: 18 + 11x = 5(-2 + 3x) + -4x + 1 18 + 11x = (-2 * 5 + 3x * 5) + -4x + 1 18 + 11x = (-10 + 15x) + -4x + 1 Reorder the terms: 18 + 11x = -10 + 1 + 15x + -4x Combine like terms: -10 + 1 = -9 18 + 11x = -9 + 15x + -4x Combine like terms: 15x + -4x = 11x 18 + 11x = -9 + 11x Add '-11x' to each side of the equation. 18 + 11x + -11x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + 0 = -9 + 11x + -11x 18 = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 18 = -9 + 0 18 = -9 Solving 18 = -9 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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