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Simplifying 6(x + 7) + 3 = 11x + -5(x + -5) Reorder the terms: 6(7 + x) + 3 = 11x + -5(x + -5) (7 * 6 + x * 6) + 3 = 11x + -5(x + -5) (42 + 6x) + 3 = 11x + -5(x + -5) Reorder the terms: 42 + 3 + 6x = 11x + -5(x + -5) Combine like terms: 42 + 3 = 45 45 + 6x = 11x + -5(x + -5) Reorder the terms: 45 + 6x = 11x + -5(-5 + x) 45 + 6x = 11x + (-5 * -5 + x * -5) 45 + 6x = 11x + (25 + -5x) Reorder the terms: 45 + 6x = 25 + 11x + -5x Combine like terms: 11x + -5x = 6x 45 + 6x = 25 + 6x Add '-6x' to each side of the equation. 45 + 6x + -6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 0 = 25 + 6x + -6x 45 = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 45 = 25 + 0 45 = 25 Solving 45 = 25 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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