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Simplifying 5(x + 6) + 6 = 7x + -2(x + -3) Reorder the terms: 5(6 + x) + 6 = 7x + -2(x + -3) (6 * 5 + x * 5) + 6 = 7x + -2(x + -3) (30 + 5x) + 6 = 7x + -2(x + -3) Reorder the terms: 30 + 6 + 5x = 7x + -2(x + -3) Combine like terms: 30 + 6 = 36 36 + 5x = 7x + -2(x + -3) Reorder the terms: 36 + 5x = 7x + -2(-3 + x) 36 + 5x = 7x + (-3 * -2 + x * -2) 36 + 5x = 7x + (6 + -2x) Reorder the terms: 36 + 5x = 6 + 7x + -2x Combine like terms: 7x + -2x = 5x 36 + 5x = 6 + 5x Add '-5x' to each side of the equation. 36 + 5x + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 0 = 6 + 5x + -5x 36 = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 36 = 6 + 0 36 = 6 Solving 36 = 6 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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