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Simplifying -11x + 5 = 10(x + 6) + -7(3x + -6) Reorder the terms: 5 + -11x = 10(x + 6) + -7(3x + -6) Reorder the terms: 5 + -11x = 10(6 + x) + -7(3x + -6) 5 + -11x = (6 * 10 + x * 10) + -7(3x + -6) 5 + -11x = (60 + 10x) + -7(3x + -6) Reorder the terms: 5 + -11x = 60 + 10x + -7(-6 + 3x) 5 + -11x = 60 + 10x + (-6 * -7 + 3x * -7) 5 + -11x = 60 + 10x + (42 + -21x) Reorder the terms: 5 + -11x = 60 + 42 + 10x + -21x Combine like terms: 60 + 42 = 102 5 + -11x = 102 + 10x + -21x Combine like terms: 10x + -21x = -11x 5 + -11x = 102 + -11x Add '11x' to each side of the equation. 5 + -11x + 11x = 102 + -11x + 11x Combine like terms: -11x + 11x = 0 5 + 0 = 102 + -11x + 11x 5 = 102 + -11x + 11x Combine like terms: -11x + 11x = 0 5 = 102 + 0 5 = 102 Solving 5 = 102 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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